## Lu, Guozhen

Compute Distance To:
 Author ID: lu.guozhen Published as: Lu, Guozhen; Lu, Guo Zhen; Lu, G. more...less Homepage: https://www2.math.uconn.edu/~guozhenlu/ External Links: MGP · Wikidata · Google Scholar · GND · IdRef
 Documents Indexed: 187 Publications since 1991, including 1 Book 5 Contributions as Editor Co-Authors: 87 Co-Authors with 173 Joint Publications 2,625 Co-Co-Authors
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### Co-Authors

 16 single-authored 30 Lam, Nguyen 17 Chen, Lu 10 Han, Yongsheng 10 Zhang, Lu 10 Zhu, Maochun 9 Wheeden, Richard Lee 9 Yang, Qiaohua 8 Tang, Hanli 8 Wang, Peiyong 8 Zhu, Jiuyi 7 Chen, Jiao 7 Cohn, William S. 7 Li, Jungang 6 Dai, Wei 6 Ding, Wei 6 Franchi, Bruno 6 Han, Xiaolong 5 Tao, Chunxia 5 Zhu, Yueping 4 Lu, Shanzhen 4 Ruan, Zhuoping 4 Wei, Juncheng 4 Yang, Yunyan 3 Cui, Xiaoyue 3 Hong, Qing 3 Huang, Liang 3 Li, Ji 3 Liu, Yongping 3 Sawyer, Eric T. 3 Zhang, Caifeng 2 Chen, Shaohua 2 Ding, Yong 2 Dong, Mengxia 2 Dong, Yuxin 2 Flynn, Joshua 2 Hart, Jarod V. 2 Koskela, Pekka 2 Manfredi, Juan J. 2 Pérez, Carlos 2 Sleeman, Brian David 2 Stroffolini, Bianca 2 Xiao, Yayuan 1 Ambrosetti, Antonio 1 Baldi, Annalisa 1 Bao, Jiguang 1 Burchard, Almut 1 Chanillo, Sagun 1 Chen, Hua 1 Chen, Xinfu 1 D’Ambrosio, Lorenzo 1 Dao, Anh Nguyen 1 Dao, Nguyen Anh 1 Ferrari, Fausto 1 Fu, Jixiang 1 Garofalo, Nicola 1 Hofmann, Steve 1 Huang, Qingbo 1 Iosevich, Alex 1 Juutinen, Petri 1 Lanconelli, Ermanno 1 Li, Junfeng 1 Li, Xia 1 Liang, Xining 1 Lin, Chincheng 1 Lin, Yan 1 Liu, Zongguang 1 Luo, Xiang 1 Ma, Bolin 1 Miao, Qianyun 1 Mitrea, Dorina 1 Mitrea, Marius 1 Nguyen Tuan Duy 1 Ou, Biao 1 Pipher, Jill Catherine 1 Rabinowitz, Paul Henry 1 Shaw, Mei-Chi 1 Shen, Yansheng 1 Sheng, Weimin 1 Sun, Lijing 1 Wang, Xumin 1 Wolff, Thomas H. 1 Wu, Xinfeng 1 Xu, Xingwang 1 Yan, Lixin 1 Yang, Dachun 1 Zhang, Pu 1 Zhao, Kai 1 Zhou, Yuan 1 Zhu, Xiaohua
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### Serials

 17 Advanced Nonlinear Studies 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Forum Mathematicum 11 The Journal of Geometric Analysis 10 Advances in Mathematics 10 Acta Mathematica Sinica. English Series 9 Calculus of Variations and Partial Differential Equations 8 Revista Matemática Iberoamericana 7 Journal of Differential Equations 7 Journal of Functional Analysis 4 Indiana University Mathematics Journal 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Publicacions Matemàtiques 4 Potential Analysis 4 Communications on Pure and Applied Analysis 3 Mathematische Zeitschrift 3 Communications in Partial Differential Equations 3 Mathematical Research Letters 3 Discrete and Continuous Dynamical Systems 3 Mathematical Sciences Research Hot-Line 2 American Journal of Mathematics 2 Differential and Integral Equations 2 Analysis & PDE 2 Advanced Lectures in Mathematics (ALM) 1 Analysis Mathematica 1 Communications on Pure and Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Studia Mathematica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Ricerche di Matematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Approximation Theory and its Applications 1 Constructive Approximation 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Panamerican Mathematical Journal 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Methods and Applications of Analysis 1 Electronic Research Announcements of the American Mathematical Society 1 The Journal of Fourier Analysis and Applications 1 Communications on Applied Nonlinear Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Science China. Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Applied and Numerical Harmonic Analysis
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### Fields

 106 Partial differential equations (35-XX) 78 Functional analysis (46-XX) 77 Harmonic analysis on Euclidean spaces (42-XX) 28 Real functions (26-XX) 19 Topological groups, Lie groups (22-XX) 13 Abstract harmonic analysis (43-XX) 12 Integral equations (45-XX) 9 Potential theory (31-XX) 8 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Approximations and expansions (41-XX) 6 Differential geometry (53-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Functions of a complex variable (30-XX) 2 Fluid mechanics (76-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

170 Publications have been cited 2,980 times in 1,285 Documents Cited by Year
Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates. Zbl 1232.42018
Hofmann, Steve; Lu, Guozhen; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin
2011
Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition and applications. Zbl 0804.35015
Lu, Guozhen
1992
Existence and multiplicity of solutions to equations of $$N$$-Laplacian type with critical exponential growth in $$\mathbb R^N$$. Zbl 1236.35050
Lam, Nguyen; Lu, Guozhen
2012
A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. Zbl 1294.46034
Lam, Nguyen; Lu, Guozhen
2013
Best constants for Moser-Trudinger inequalities on the Heisenberg group. Zbl 1019.43009
Cohn, William S.; Lu, Guozhen
2001
Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications. Zbl 1278.42033
Lam, Nguyen; Lu, Guozhen
2012
Representation formulas and weighted Poincaré inequalities for Hörmander vector fields. Zbl 0820.46026
Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L.
1995
The sharp Poincaré inequality for free vector fields: An endpoint result. Zbl 0860.35006
Lu, Guozhen
1994
Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290
Lu, Guozhen; Zhu, Jiuyi
2011
Inhomogeneous infinity Laplace equation. Zbl 1152.35042
Lu, Guozhen; Wang, Peiyong
2008
Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition. Zbl 1305.35069
Lam, Nguyen; Lu, Guozhen
2014
Sharp constant and extremal function for the improved Moser-Trudinger inequality involving $$L^p$$ norm in two dimension. Zbl 1182.35093
Lu, Guozhen; Yang, Yunyan
2009
Convex functions on the Heisenberg group. Zbl 1072.49019
Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca
2004
Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
2017
A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type. Zbl 0856.43006
Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L.
1996
A PDE perspective of the normalized infinity Laplacian. Zbl 1157.35388
Lu, Guozhen; Wang, Peiyong
2008
Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
2014
Adams’ inequalities for bi-Laplacian and extremal functions in dimension four. Zbl 1172.46021
Lu, Guozhen; Yang, Yunyan
2009
Sharp constants for Moser-Trudinger inequalities on spheres in complex space $$\mathbb C^n$$. Zbl 1063.35060
Cohn, William S.; Lu, Guozhen
2004
Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026
Lu, Guozhen; Yang, Qiaohua
2017
Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations. Zbl 0873.35006
Lu, Guozhen
1996
An overdetermined problem in Riesz-potential and fractional Laplacian. Zbl 1236.31004
Lu, Guozhen; Zhu, Jiuyi
2012
$$N$$-Laplacian equations in $$\mathbb R^N$$ with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049
Lam, Nguyen; Lu, Guozhen
2013
Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031
Lu, Guozhen; Tang, Hanli
2016
Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035
Lu, Guozhen; Tang, Hanli
2013
Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010
Chen, Jiao; Lu, Guozhen
2014
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
2014
Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026
Dong, Mengxia; Lu, Guozhen
2016
Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
2018
Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027
Dong, Mengxia; Nguyen Lam; Lu, Guozhen
2018
Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type. Zbl 1011.22004
Cohn, William S.; Lu, Guo Zhen
2002
Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035
Lam, Nguyen; Lu, Guozhen
2017
Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013
Lu, Guozhen; Yang, Qiaohua
2019
Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. Zbl 1402.46026
Li, Jungang; Lu, Guozhen; Zhu, Maochun
2018
Sharp Adams type inequalities in Sobolev spaces $$W^{m,\frac{n}{m}}(\mathbb R^n)$$ for arbitrary integer $$m$$. Zbl 1259.46029
Lam, Nguyen; Lu, Guozhen
2012
Characterization of balls in terms of Bessel-potential integral equation. Zbl 1229.31005
Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi
2012
Sharp singular Adams inequalities in high order Sobolev spaces. Zbl 1319.46027
Nguyen Lam; Lu, Guozhen
2012
Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039
Lu, Guozhen; Zhang, Pu
2014
Polynomials, higher order Sobolev extension theorems and interpolation inequalities on weighted Folland-Stein spaces on stratified groups. Zbl 0973.46020
Lu, Guozhen
2000
A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029
Lu, Guozhen; Yang, Qiaohua
2016
Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. Zbl 1275.42035
Han, Yongsheng; Li, Ji; Lu, Guozhen
2013
On nonuniformly subelliptic equations of $$Q$$-sub-Laplacian type with critical growth in the Heisenberg group. Zbl 1282.35139
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
2012
Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces. Zbl 1007.46034
Liu, Yongping; Lu, Guozhen; Wheeden, Richard L.
2002
Boundedness of singular integrals on multiparameter weighted Hardy spaces $$H^p_w(\mathbb R^n \times \mathbb R^m)$$. Zbl 1271.42017
Ding, Yong; Han, Yongsheng; Lu, Guozhen; Wu, Xinfeng
2012
Convex functions on Carnot groups. Zbl 1124.49024
Juutinen, Petri; Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca
2007
Existence and nonexistence of positive radial solutions for a class of semilinear elliptic systems. Zbl 0934.34011
Chen, Shaohua; Lu, Guozhen
1999
Best constants for Adams’ inequalities with the exact growth condition in $${\mathbb R}^n$$. Zbl 1352.46034
Lu, Guozhen; Tang, Hanli; Zhu, Maochun
2015
Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals. Zbl 1192.42014
Ding, Yong; Lu, Guo Zhen; Ma, Bo Lin
2010
Discrete Calderón’s identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces. Zbl 1193.42090
Han, Y.; Lu, G.; Zhao, K.
2010
Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in $$\mathbb{R}^4$$. Zbl 1397.35097
Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng
2018
Singular integrals and commutators on homogeneous groups. Zbl 1026.43007
Lu, Guozhen; Lu, Shanzhen; Yang, Dachun
2002
A Fefferman-Phong type inequality for degenerate vector fields and applications. Zbl 0878.35050
Lu, Guozhen
1996
Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth. Zbl 1245.35064
Lam, Nguyen; Lu, Guozhen
2012
$$L^p$$ estimates for multi-linear and multi-parameter pseudo-differential operators. (Estimations $$L^p$$ pour les opérateurs pseudo-différentiels multilinéaires et multiparamètres.) Zbl 1335.47033
Dai, Wei; Lu, Guozhen
2015
Duality of multiparameter Hardy spaces $$H^{p}$$ on spaces of homogeneous type. Zbl 1213.42073
Han, Yongsheng; Li, Ji; Lu, Guozhen
2010
Infinity Laplace equation with non-trivial right-hand side. Zbl 1194.35194
Lu, Guozhen; Wang, Peiyong
2010
Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type. Zbl 0916.46026
Lu, Guozhen
1998
Axial symmetry and regularity of solutions to an integral equation in a half-space. Zbl 1239.45005
Lu, Guozhen; Zhu, Jiuyi
2011
Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups. Zbl 0910.26007
Lu, Guozhen
1997
Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. Zbl 1372.46027
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
2017
Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035
Lu, Guozhen; Tang, Hanli
2016
Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
2019
Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. Zbl 1268.42024
Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping
2013
Boman equals John. Zbl 0861.43007
Buckley, S.; Koskela, P.; Lu, Guozhen
1996
Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421
Dai, Wei; Liu, Zhao; Lu, Guozhen
2017
High order representation formulas and embedding theorems on stratified groups and generalizations. Zbl 0974.46039
Lu, Guozhen; Wheeden, Richard L.
2000
Duality theory of weighted Hardy spaces with arbitrary number of parameters. Zbl 1298.42025
Lu, Guozhen; Ruan, Zhuoping
2014
Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations. Zbl 0841.46018
Franchi, B.; Lu, G.; Wheeden, R. L.
1995
Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group. Zbl 1309.42032
Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi
2012
Some recent works on multiparameter Hardy space theory and discrete Littlewood-Paley analysis. Zbl 1201.42016
Han, Yongsheng; Lu, Guozhen
2010
Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
2019
An optimal representation formula for Carnot-Carathéodory vector fields. Zbl 0931.31003
Lu, Guozhen; Wheeden, Richard L.
1998
Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018
Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T.
2013
Geometric Hardy’s inequalities with general distance functions. Zbl 1473.35014
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
2020
Embedding theorems on Campanato-Morrey spaces for vector fields and applications. Zbl 0842.46019
Lu, Guozhen
1995
$$L^{p}$$ boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024
Hong, Qing; Lu, Guozhen; Zhang, Lu
2018
A sharpened Moser-Pohozaev-Trudinger inequality with mean value zero in $$\mathbb R^2$$. Zbl 1179.58010
Lu, Guozhen; Yang, Yunyan
2009
A sharp Trudinger-Moser type inequality involving $$L^n$$ norm in the entire space $$\mathbb{R}^n$$. Zbl 1432.35081
Lu, Guozhen; Zhu, Maochun
2019
Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications. Zbl 1129.22007
Cohn, William S.; Lu, Guozhen; Wang, Peiyong
2007
Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators. Zbl 1321.47111
Hong, Qing; Lu, Guozhen
2014
On Harnack’s inequality for a class of strongly degenerate Schrödinger operators formed by vector fields. Zbl 0827.35032
Lu, Guozhen
1994
The Moser-Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations. Zbl 1254.35063
Cohn, William S.; Lam, Nguyen; Lu, Guozhen; Yang, Yunyan
2012
Simultaneous representation and approximation formulas and high-order Sobolev embedded theorems on stratified groups. Zbl 1070.46024
Lu, Guozhen; Wheeden, Richard L.
2004
Multi-parameter local Hardy spaces. Zbl 1418.42038
Ding, Wei; Lu, Guozhen; Zhu, YuePing
2019
On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups. Zbl 0887.35052
Lu, Guozhen; Wei, Juncheng
1997
The Moser-Trudinger and Adams inequalities and elliptic and subelliptic equations with nonlinearity of exponential growth. Zbl 1317.35018
Lam, Nguyen; Lu, Guozhen
2012
Existence and size estimates for the Green’s functions of differential operators constructed from degenerate vector fields. Zbl 0798.35002
Lu, Guozhen
1992
Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326
Chen, Lu; Liu, Zhao; Lu, Guozhen
2016
Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025
Ding, Wei; Lu, Guozhen
2016
Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters. Zbl 1261.42030
Lu, Guo Zhen; Zhu, Yue Ping
2013
Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions. Zbl 1451.46036
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
2020
Maximum principles and comparison theorems for semilinear parabolic systems and their applications. Zbl 0791.35006
Lu, G.; Sleeman, B. D.
1993
Regularity of solutions to an integral equation associated with Bessel potential. Zbl 1237.45002
Han, Xiaolong; Lu, Guozhen
2011
Bounds of singular integrals on weighted Hardy spaces and discrete Littlewood-Paley analysis. Zbl 1408.42009
Lu, Guozhen; Zhu, Yueping
2012
On nonlinear Schrödinger equations with totally degenerate potentials. Zbl 0911.35047
Lu, Guozhen; Wei, Juncheng
1998
On a Sobolev inequality with remainder terms. Zbl 0961.35100
Lu, Guozhen; Wei, Juncheng
2000
Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
2019
Global Poincaré inequalities on the Heisenberg group and applications. Zbl 1131.46024
Dong, Yu Xin; Lu, Guo Zhen; Sun, Li Jing
2007
Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. Zbl 1333.42013
Chen, Lu; Lu, Guozhen; Luo, Xiang
2016
Poincaré inequalities, isoperimetric estimates, and representation formulas on product spaces. Zbl 0931.26007
Lu, Guozhen; Wheeden, Richard L.
1998
Green’s functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 07483893
Lu, Guozhen; Yang, Qiaohua
2022
Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds. Zbl 1482.46040
Li, Jungang; Lu, Guozhen
2021
A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations. Zbl 1468.35040
Chen, Lu; Lu, Guozhen; Zhu, Maochun
2021
Sharp Hardy identities and inequalities on Carnot groups. Zbl 1479.43012
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen
2021
Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in $$\mathbb{R}^n$$. Zbl 1479.35264
Chen, Lu; Lu, Guozhen; Zhu, Maochun
2021
Concentration-compactness principle for Trudinger-Moser’s inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument. Zbl 07420206
Li, Jungang; Lu, Guozhen; Zhu, Maochun
2021
Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces. Zbl 1465.35206
Chen, Lu; Lu, Guozhen; Zhang, Caifeng
2021
Hörmander Fourier multiplier theorems with optimal regularity in bi-parameter Besov spaces. Zbl 1480.42017
Chen, Jiao; Huang, Liang; Lu, Guozhen
2021
Geometric Hardy’s inequalities with general distance functions. Zbl 1473.35014
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
2020
Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions. Zbl 1451.46036
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
2020
Existence and nonexistence of extremals for critical Adams inequalities in $$\mathbb{R}^4$$ and Trudinger-Moser inequalities in $$\mathbb{R}^2$$. Zbl 1441.35121
Chen, Lu; Lu, Guozhen; Zhu, Maochun
2020
Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces. Zbl 1442.42054
Chen, Jiao; Ding, Wei; Lu, Guozhen
2020
Boundedness of inhomogeneous Journé’s type operators on multi-parameter local Hardy spaces. Zbl 1440.42052
Ding, Wei; Lu, Guozhen
2020
Stein-Weiss inequalities with the fractional Poisson kernel. Zbl 1459.35006
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
2020
Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials. Zbl 1467.46033
Chen, Lu; Lu, Guozhen; Zhu, Maochun
2020
Sharp Hardy-Trudinger-Moser inequalities in any $$N$$-dimensional hyperbolic spaces. Zbl 1462.46040
Liang, Xining; Lu, Guozhen; Wang, Xumin; Yang, Qiaohua
2020
Existence of solutions to fractional $$p$$-Laplacian systems with homogeneous nonlinearities of critical Sobolev growth. Zbl 1445.35306
Lu, Guozhen; Shen, Yansheng
2020
Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013
Lu, Guozhen; Yang, Qiaohua
2019
Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
2019
Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
2019
A sharp Trudinger-Moser type inequality involving $$L^n$$ norm in the entire space $$\mathbb{R}^n$$. Zbl 1432.35081
Lu, Guozhen; Zhu, Maochun
2019
Multi-parameter local Hardy spaces. Zbl 1418.42038
Ding, Wei; Lu, Guozhen; Zhu, YuePing
2019
Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
2019
Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces. Zbl 1440.42104
Ding, Wei; Lu, Guozhen; Zhu, Yueping
2019
Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034
Chen, Lu; Lu, Guozhen; Tao, Chunxia
2019
Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals. Zbl 1421.35099
Chen, Lu; Lu, Guozhen; Zhang, Caifeng
2019
Hardy-Littlewood-Sobolev inequalities with the fractional Poisson kernel and their applications in PDEs. Zbl 1418.35008
Chen, Lu; Lu, Guozhen; Tao, Chunxia
2019
Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications. Zbl 1409.42011
Lin, Yan; Lu, Guozhen; Lu, Shanzhen
2019
Reverse Stein-Weiss inequalities on the upper half space and the existence of their extremals. Zbl 1422.42036
Chen, Lu; Lu, Guozhen; Tao, Chunxia
2019
Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025
Li, Jungang; Lu, Guozhen; Yang, Qiaohua
2018
Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027
Dong, Mengxia; Nguyen Lam; Lu, Guozhen
2018
Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. Zbl 1402.46026
Li, Jungang; Lu, Guozhen; Zhu, Maochun
2018
Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in $$\mathbb{R}^4$$. Zbl 1397.35097
Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng
2018
$$L^{p}$$ boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024
Hong, Qing; Lu, Guozhen; Zhang, Lu
2018
Weighted $$L^{p}$$ estimates for rough bi-parameter Fourier integral operators. Zbl 1401.42013
Hong, Qing; Lu, Guozhen
2018
Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness. Zbl 1422.42023
Chen, Jiao; Lu, Guozhen
2018
Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041
Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia
2018
Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities. Zbl 1392.26029
Lam, Nguyen; Lu, Guozhen
2018
Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034
Lam, Nguyen; Lu, Guozhen; Zhang, Lu
2017
Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026
Lu, Guozhen; Yang, Qiaohua
2017
Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035
Lam, Nguyen; Lu, Guozhen
2017
Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. Zbl 1372.46027
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
2017
Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421
Dai, Wei; Liu, Zhao; Lu, Guozhen
2017
$$\mathrm{L}^p$$ estimates for a trilinear pseudo-differential operator with flag symbols. Zbl 1371.42012
Lu, Guozhen; Zhang, Lu
2017
Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space. Zbl 1369.45005
Dai, Wei; Liu, Zhao; Lu, Guozhen
2017
Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031
Lu, Guozhen; Tang, Hanli
2016
Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026
Dong, Mengxia; Lu, Guozhen
2016
A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029
Lu, Guozhen; Yang, Qiaohua
2016
Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035
Lu, Guozhen; Tang, Hanli
2016
Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326
Chen, Lu; Liu, Zhao; Lu, Guozhen
2016
Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025
Ding, Wei; Lu, Guozhen
2016
Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. Zbl 1333.42013
Chen, Lu; Lu, Guozhen; Luo, Xiang
2016
Multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition. Zbl 1335.42021
Ding, Wei; Lu, Guozhen; Zhu, Yueping
2016
Bi-parameter and bilinear Calderón-Vaillancourt theorem with subcritical order. Zbl 1351.42028
Lu, Guozhen; Zhang, Lu
2016
Polyharmonic equations with critical exponential growth in the whole space $$\mathbb{R}^{n}$$. Zbl 1323.35046
Lu, Guozhen; Lam, Nguyen; Bao, Jiguang
2016
Hardy space estimates for Littlewood-Paley-Stein square functions and Calderón-Zygmund operators. Zbl 1337.42019
Hart, Jarod; Lu, Guozhen
2016
Hardy space estimates for bilinear square functions and Calderón-Zygmund operators. Zbl 1358.42012
Hart, Jarod; Lu, Guozhen
2016
Best constants for Adams’ inequalities with the exact growth condition in $${\mathbb R}^n$$. Zbl 1352.46034
Lu, Guozhen; Tang, Hanli; Zhu, Maochun
2015
$$L^p$$ estimates for multi-linear and multi-parameter pseudo-differential operators. (Estimations $$L^p$$ pour les opérateurs pseudo-différentiels multilinéaires et multiparamètres.) Zbl 1335.47033
Dai, Wei; Lu, Guozhen
2015
The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations. Zbl 1312.35033
Lu, Guozhen; Zhu, Jiuyi
2015
Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Zbl 1338.35016
Lam, Nguyen; Lu, Guozhen
2015
Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition in variable exponent Sobolev spaces. Zbl 1339.46033
Li, Xia; Lu, Guo Zhen; Tang, Han Li
2015
Characterizations of second order Sobolev spaces. Zbl 1339.46030
Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen
2015
$$L^p$$ estimates for bilinear and multiparameter Hilbert transforms. Zbl 1329.42008
Dai, Wei; Lu, Guozhen
2015
Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition. Zbl 1305.35069
Lam, Nguyen; Lu, Guozhen
2014
Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
2014
Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010
Chen, Jiao; Lu, Guozhen
2014
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
2014
Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039
Lu, Guozhen; Zhang, Pu
2014
Duality theory of weighted Hardy spaces with arbitrary number of parameters. Zbl 1298.42025
Lu, Guozhen; Ruan, Zhuoping
2014
Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators. Zbl 1321.47111
Hong, Qing; Lu, Guozhen
2014
Boundedness of singular integrals in Journé’s class on weighted multiparameter Hardy spaces. Zbl 1302.42024
Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping
2014
New characterizations of Sobolev spaces on the Heisenberg group. Zbl 1316.46033
Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen
2014
A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. Zbl 1294.46034
Lam, Nguyen; Lu, Guozhen
2013
$$N$$-Laplacian equations in $$\mathbb R^N$$ with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049
Lam, Nguyen; Lu, Guozhen
2013
Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035
Lu, Guozhen; Tang, Hanli
2013
Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. Zbl 1275.42035
Han, Yongsheng; Li, Ji; Lu, Guozhen
2013
Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. Zbl 1268.42024
Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping
2013
Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018
Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T.
2013
Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters. Zbl 1261.42030
Lu, Guo Zhen; Zhu, Yue Ping
2013
Characterizations of Sobolev spaces in Euclidean spaces and Heisenberg groups. Zbl 1299.46032
Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen
2013
Liouville-type theorems for fully nonlinear elliptic equations and systems in half spaces. Zbl 1298.35021
Lu, Guozhen; Zhu, Jiuyi
2013
Existence and multiplicity of solutions to equations of $$N$$-Laplacian type with critical exponential growth in $$\mathbb R^N$$. Zbl 1236.35050
Lam, Nguyen; Lu, Guozhen
2012
Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications. Zbl 1278.42033
Lam, Nguyen; Lu, Guozhen
2012
An overdetermined problem in Riesz-potential and fractional Laplacian. Zbl 1236.31004
Lu, Guozhen; Zhu, Jiuyi
2012
Sharp Adams type inequalities in Sobolev spaces $$W^{m,\frac{n}{m}}(\mathbb R^n)$$ for arbitrary integer $$m$$. Zbl 1259.46029
Lam, Nguyen; Lu, Guozhen
2012
Characterization of balls in terms of Bessel-potential integral equation. Zbl 1229.31005
Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi
2012
Sharp singular Adams inequalities in high order Sobolev spaces. Zbl 1319.46027
Nguyen Lam; Lu, Guozhen
2012
On nonuniformly subelliptic equations of $$Q$$-sub-Laplacian type with critical growth in the Heisenberg group. Zbl 1282.35139
Lam, Nguyen; Lu, Guozhen; Tang, Hanli
2012
Boundedness of singular integrals on multiparameter weighted Hardy spaces $$H^p_w(\mathbb R^n \times \mathbb R^m)$$. Zbl 1271.42017
Ding, Yong; Han, Yongsheng; Lu, Guozhen; Wu, Xinfeng
2012
Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth. Zbl 1245.35064
Lam, Nguyen; Lu, Guozhen
2012
Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group. Zbl 1309.42032
Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi
2012
The Moser-Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations. Zbl 1254.35063
Cohn, William S.; Lam, Nguyen; Lu, Guozhen; Yang, Yunyan
2012
The Moser-Trudinger and Adams inequalities and elliptic and subelliptic equations with nonlinearity of exponential growth. Zbl 1317.35018
Lam, Nguyen; Lu, Guozhen
2012
Bounds of singular integrals on weighted Hardy spaces and discrete Littlewood-Paley analysis. Zbl 1408.42009
Lu, Guozhen; Zhu, Yueping
2012
Liouville-type theorems and decay estimates for solutions to higher order elliptic equations. Zbl 1255.35064
Lu, Guozhen; Wang, Peiyong; Zhu, Jiuyi
2012
Atomic decomposition and boundedness criterion of operators on multi-parameter Hardy spaces of homogeneous type. Zbl 1258.42021
Lu, Guo Zhen; Xiao, Ya Yuan
2012
Dual spaces of weighted multi-parameter Hardy spaces associated with the Zygmund dilation. Zbl 1275.42031
Han, Xiaolong; Lu, Guozhen; Xiao, Yayuan
2012
On regularity of solutions to an integral system associated with Bessel potentials. Zbl 1245.45002
Han, Xiaolong; Lu, Guozhen
2012
Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates. Zbl 1232.42018
Hofmann, Steve; Lu, Guozhen; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin
2011
...and 70 more Documents
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### Cited by 1,131 Authors

 107 Lu, Guozhen 41 Yang, Dachun 36 Lam, Nguyen 29 Li, Ji 28 Duong, Xuan Thinh 25 Niu, Pengcheng 24 Yang, Qiaohua 21 Chen, Lu 21 Nguyễn Văn Hoàng 21 Yan, Lixin 20 The Anh Bui 19 Franchi, Bruno 18 Yang, Yunyan 17 Zhu, Maochun 16 Do Ó, João M. Bezerra 16 Song, Liang 15 Wang, Jialin 15 Wu, Xinfeng 14 Han, Yongsheng 14 Yang, Sibei 13 Chen, Wenxiong 13 Nguyen Tuan Duy 12 Manfredi, Juan J. 11 Bonfiglioli, Andrea 11 de Souza, Manassés 11 Ding, Wei 11 Guliyev, Vagif Sabir 10 Chen, Jiao 10 Dai, Wei 10 Lanconelli, Ermanno 10 Liao, Dongni 10 Tang, Hanli 10 Wheeden, Richard Lee 10 Yang, Minbo 9 Cao, Jun 9 Chang, Der-Chen E. 9 Li, Congming 9 Li, Pengtao 9 Liu, Yu 9 Uguzzoni, Francesco 8 Aouaoui, Sami 8 Chua, Seng-Kee 8 Dou, Jingbo 8 Garofalo, Nicola 8 Sani, Federica 8 Yang, Zuodong 8 Zhang, Lu 8 Zhu, Jiuyi 8 Zhu, Yueping 7 Baldi, Annalisa 7 Capogna, Luca 7 Chen, Peng 7 Dziubański, Jacek 7 Ferrari, Fausto 7 Han, Yanchang 7 Huang, Jizheng 7 Huang, Liang 7 Li, Jungang 7 Lin, Yan 7 Mohammed, Ahmed 7 Morbidelli, Daniele 7 Rossi, Julio Daniel 7 Ruzhansky, Michael V. 7 Tan, Chaoqiang 7 Wang, Xumin 7 Wu, Leyun 7 Yang, Dongyong 7 Yang, Xiaoping 7 Zhang, Caifeng 7 Zhang, Mengjie 7 Zhao, Jiman 7 Zhu, Xiaobao 6 Crasta, Graziano 6 Di Fazio, Giuseppe 6 Du, Guangwei 6 Fragalà, Ilaria 6 Fu, Zunwei 6 Gong, Ruming 6 Han, Yazhou 6 He, Shaoyong 6 Liu, Suying 6 Liu, Zongguang 6 Lu, Shanzhen 6 Montanari, Annamaria 6 Pérez, Carlos 6 Phi, Le Long 6 Sreenadh, Konijeti 6 Tao, Chunxia 6 Vodop’yanov, Sergeĭ Konstantinovich 6 Wang, Peiyong 6 Wick, Brett D. 6 Xue, Qingying 6 Yuan, Wen 6 Zamboni, Pietro 5 Balogh, Zoltán M. 5 Bieske, Thomas J. 5 Chen, Jiecheng 5 Citti, Giovanna 5 Dragoni, Federica 5 Fanciullo, Maria Stella ...and 1,031 more Authors
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### Cited in 196 Serials

 112 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 70 Journal of Mathematical Analysis and Applications 50 Journal of Functional Analysis 45 The Journal of Geometric Analysis 40 Acta Mathematica Sinica. English Series 39 Calculus of Variations and Partial Differential Equations 37 Journal of Differential Equations 37 Proceedings of the American Mathematical Society 32 Transactions of the American Mathematical Society 31 Advanced Nonlinear Studies 30 Communications on Pure and Applied Analysis 29 Potential Analysis 27 Advances in Mathematics 23 Journal of Inequalities and Applications 19 Mathematische Annalen 19 Forum Mathematicum 19 Science China. Mathematics 18 Discrete and Continuous Dynamical Systems 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Communications in Contemporary Mathematics 14 The Journal of Fourier Analysis and Applications 14 Boundary Value Problems 14 Complex Variables and Elliptic Equations 13 Mathematische Zeitschrift 13 Communications in Partial Differential Equations 13 Journal of Function Spaces 11 Manuscripta Mathematica 11 Revista Matemática Iberoamericana 11 NoDEA. Nonlinear Differential Equations and Applications 9 Applicable Analysis 9 Mathematische Nachrichten 9 Applied Mathematics Letters 9 Abstract and Applied Analysis 9 Revista Matemática Complutense 9 Banach Journal of Mathematical Analysis 8 Siberian Mathematical Journal 8 International Journal of Mathematics 8 Mathematical Inequalities & Applications 8 Advances in Nonlinear Analysis 7 Pacific Journal of Mathematics 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Advances in Calculus of Variations 7 Journal of Pseudo-Differential Operators and Applications 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Journal d’Analyse Mathématique 6 Mathematical Notes 6 Archiv der Mathematik 6 Czechoslovak Mathematical Journal 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 6 Mediterranean Journal of Mathematics 6 Frontiers of Mathematics in China 6 Journal of Mathematical Inequalities 5 Journal of Mathematical Physics 5 Mathematical Methods in the Applied Sciences 5 Studia Mathematica 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Annales de l’Institut Fourier 5 Memoirs of the American Mathematical Society 5 Electronic Journal of Differential Equations (EJDE) 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Taiwanese Journal of Mathematics 5 Journal of Function Spaces and Applications 5 Analysis and Mathematical Physics 4 Rocky Mountain Journal of Mathematics 4 Journal of Approximation Theory 4 Journal of the Korean Mathematical Society 4 Journal of the Mathematical Society of Japan 4 Annals of Global Analysis and Geometry 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Applied Mathematics. Series B (English Edition) 4 Journal of Evolution Equations 4 Journal of the Australian Mathematical Society 3 Indian Journal of Pure & Applied Mathematics 3 Duke Mathematical Journal 3 Integral Equations and Operator Theory 3 Monatshefte für Mathematik 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 SIAM Journal on Mathematical Analysis 3 St. Petersburg Mathematical Journal 3 Bulletin des Sciences Mathématiques 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Analysis in Theory and Applications 3 Bulletin of Mathematical Sciences 3 Analysis and Geometry in Metric Spaces 2 Analysis Mathematica 2 Computers & Mathematics with Applications 2 Communications on Pure and Applied Mathematics 2 Nonlinearity 2 Mathematics of Computation 2 Canadian Journal of Mathematics 2 Indiana University Mathematics Journal 2 Journal of Computational and Applied Mathematics 2 Mathematica Slovaca 2 Nagoya Mathematical Journal 2 Rendiconti del Seminario Matematico della Università di Padova ...and 96 more Serials
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### Cited in 42 Fields

 747 Partial differential equations (35-XX) 399 Harmonic analysis on Euclidean spaces (42-XX) 339 Functional analysis (46-XX) 168 Real functions (26-XX) 123 Operator theory (47-XX) 90 Abstract harmonic analysis (43-XX) 73 Global analysis, analysis on manifolds (58-XX) 62 Differential geometry (53-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 53 Topological groups, Lie groups (22-XX) 46 Integral equations (45-XX) 45 Potential theory (31-XX) 36 Functions of a complex variable (30-XX) 18 Several complex variables and analytic spaces (32-XX) 14 Convex and discrete geometry (52-XX) 10 Measure and integration (28-XX) 10 Ordinary differential equations (34-XX) 10 Numerical analysis (65-XX) 9 Probability theory and stochastic processes (60-XX) 6 Special functions (33-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Approximations and expansions (41-XX) 5 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Difference and functional equations (39-XX) 3 Manifolds and cell complexes (57-XX) 3 Biology and other natural sciences (92-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)

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