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Potential Analysis

An International Journal devoted to the Interactions between Potential Theory, Probability Theory, Geometry and Functional Analysis

Short Title: Potential Anal.
Publisher: Springer Netherlands, Dordrecht
ISSN: 0926-2601; 1572-929X/e
Online: http://link.springer.com/journal/volumesAndIssues/11118
Comments: Indexed cover-to-cover
Documents Indexed: 1,355 Publications (since 1992)
References Indexed: 1,026 Publications with 24,278 References.
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Latest Issues

55, No. 2 (2021)
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...and 119 more Volumes
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Authors

14 van den Berg, Michiel
13 Albeverio, Sergio A.
13 Boboc, Nicu
12 Hansen, Wolfhard
12 Wang, Feng-Yu
11 Beznea, Lucian
11 Gyöngy, István
11 Kim, Panki
11 Röckner, Michael
11 Zhang, Tusheng S.
10 Song, Renming
9 Fuglede, Bent
9 Nualart, David
8 Brzeźniak, Zdzisław
8 Ding, Yong
8 Feyel, Denis
8 Fukushima, Masatoshi
8 Koo, Hyungwoon
8 Ryznar, Michał
7 Bañuelos, Rodrigo
7 Bogdan, Krzysztof
7 Choe, Boo Rim
7 Privault, Nicolas
7 Tindel, Samy
6 Baudoin, Fabrice
6 de la Pradelle, Arnaud
6 Gilkey, Peter B.
6 Kim, KyeongHun
6 Kulczycki, Tadeusz
6 Mâagli, Habib
6 Maz’ya, Vladimir Gilelevich
6 Mizuta, Yoshihiro
6 Takeda, Masayoshi
6 Vondraček, Zoran
6 Zorii, Natalia
5 Chen, Zhen-Qing
5 El Kadiri, Mohamed
5 Gordina, Maria
5 Grzywny, Tomasz
5 Hausenblas, Erika
5 Małecki, Jacek
5 Millet, Annie
5 Netuka, Ivan
5 Øksendal, Bernt Karsten
5 Oshima, Yoichi
5 Pavlović, Miroslav
5 Shahgholian, Henrik
5 Shanmugalingam, Nageswari
5 Singman, David
5 Song, Shiqi
5 Sturm, Karl-Theodor
5 Yang, Dachun
4 Anandam, Victor
4 Arendt, Wolfgang
4 Bendikov, Alexander D.
4 Betancor Perez, Jorge Juan
4 Biroli, Marco
4 Bucur, Gheorghe
4 Byczkowski, Tomasz
4 Cinti, Chiara
4 Decreusefond, Laurent
4 Fitzsimmons, Patrick J.
4 Getoor, Ronald Kay
4 Gorostiza, Luis G.
4 Hirsch, Francis
4 Jakubowski, Tomasz
4 Kilpeläinen, Tero
4 Klimsiak, Tomasz
4 Kondrat’yev, Yuriĭ Grygorovych
4 Koskela, Pekka
4 Lu, Guozhen
4 Luo, Dejun
4 Mikulevicius, Remigijus
4 Nane, Erkan
4 Polidoro, Sergio
4 Rovira, Carles
4 Saff, Edward Barry
4 Tanaka, Hitoshi
4 ter Elst, Antonius Frederik Maria
4 The Anh Bui
4 Uemura, Toshihiro
4 Wang, Jing
4 Wheeden, Richard Lee
4 Ying, Jiangang
4 Zähle, Martina
3 Aikawa, Hiroaki
3 Applebaum, David B.
3 Bally, Vlad
3 Bénilan, Philippe
3 Benth, Fred Espen
3 Białas-Cież, Leokadia
3 Björn, Anders
3 Björn, Jana
3 Bojdecki, Tomasz
3 Bonfiglioli, Andrea
3 Bouleau, Nicolas
3 Brasche, Johannes Friedemann
3 Casado-Díaz, Juan
3 Chang, Tongkeun
3 Chen, Yanping
...and 1,404 more Authors
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Fields

583 Probability theory and stochastic processes (60-XX)
472 Partial differential equations (35-XX)
469 Potential theory (31-XX)
189 Operator theory (47-XX)
145 Functional analysis (46-XX)
141 Global analysis, analysis on manifolds (58-XX)
115 Harmonic analysis on Euclidean spaces (42-XX)
72 Differential geometry (53-XX)
60 Measure and integration (28-XX)
60 Functions of a complex variable (30-XX)
52 Real functions (26-XX)
44 Several complex variables and analytic spaces (32-XX)
44 Abstract harmonic analysis (43-XX)
31 Calculus of variations and optimal control; optimization (49-XX)
26 Combinatorics (05-XX)
26 Topological groups, Lie groups (22-XX)
25 Ordinary differential equations (34-XX)
21 Quantum theory (81-XX)
19 Statistical mechanics, structure of matter (82-XX)
18 Numerical analysis (65-XX)
17 Dynamical systems and ergodic theory (37-XX)
15 Fluid mechanics (76-XX)
12 Approximations and expansions (41-XX)
11 Integral equations (45-XX)
10 Difference and functional equations (39-XX)
9 Special functions (33-XX)
6 Number theory (11-XX)
6 Geometry (51-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Group theory and generalizations (20-XX)
5 Integral transforms, operational calculus (44-XX)
5 Convex and discrete geometry (52-XX)
5 General topology (54-XX)
5 Mechanics of particles and systems (70-XX)
5 Information and communication theory, circuits (94-XX)
4 Mechanics of deformable solids (74-XX)
4 Optics, electromagnetic theory (78-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Sequences, series, summability (40-XX)
2 Statistics (62-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

1,093 Publications have been cited 9,039 times in 6,963 Documents Cited by Year
Stochastic analysis of the fractional Brownian motion. Zbl 0924.60034
Decreusefond, Laurent; Üstünel, Ali Süleyman
272
1999
Sobolev spaces on an arbitrary metric space. Zbl 0859.46022
Hajłasz, Piotr
205
1996
Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths. Zbl 1225.60057
Denis, Laurent; Hu, Mingshang; Peng, Shige
170
2011
On a spectral analysis for the Sierpiński gasket. Zbl 1081.31501
Fukushima, M.; Shima, T.
123
1992
Harnack inequalities for jump processes. Zbl 0997.60089
Bass, Richard F.; Levin, David A.
103
2002
Perturbation of Dirichlet forms by measures. Zbl 0861.31004
Stollmann, Peter; Voigt, Jürgen
102
1996
Estimates of Green function for relativistic \(\alpha\)-stable process. Zbl 1004.60047
Ryznar, Michał
76
2002
Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. II. Zbl 0944.60074
Gyöngy, István
74
1999
Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057
Röckner, Michael; Zhang, Tusheng
65
2007
The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values. Zbl 1120.46016
Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna
64
2006
Stochastic partial differential equations in \(M\)-type 2 Banach spaces. Zbl 0831.35161
Brzeźniak, Zdzisław
62
1995
Orlicz-Morrey spaces and fractional operators. Zbl 1242.42017
Sawano, Yoshihiro; Sugano, Satoko; Tanaka, Hitoshi
62
2012
A note on Euler’s approximations. Zbl 0946.60059
Gyöngy, István
60
1998
Parabolic capacity and soft measures for nonlinear equations. Zbl 1017.35040
Droniou, Jérôme; Porretta, Alessio; Prignet, Alain
60
2003
Approximation for semilinear stochastic evolution equations. Zbl 1015.60053
Hausenblas, Erika
58
2003
The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets. Zbl 1307.31022
Warma, Mahamadi
52
2015
Parabolic Harnack inequality for divergence form second order differential operators. Zbl 0840.31006
Saloff-Coste, L.
51
1995
Finite element methods for parabolic stochastic PDE’s. Zbl 1065.60082
Walsh, J. B.
46
2005
Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
Kipeläinen, Tero; Kinnunen, Juha; Martio, Olli
46
2000
Young integrals and SPDEs. Zbl 1103.60062
Gubinelli, Massimiliano; Lejay, Antoine; Tindel, Samy
46
2006
On fractional Brownian processes. Zbl 0944.60045
Feyel, Denis; de La Pradelle, Arnaud
45
1999
Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs. Zbl 1036.35045
Palagachev, Dian K.; Softova, Lubomira G.
45
2004
Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. I. Zbl 0915.60069
Gyöngy, István
45
1998
Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile. Zbl 1165.82309
Levine, Lionel; Peres, Yuval
44
2009
The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004
Arendt, Wolfgang; Warma, Mahamadi
43
2003
Parabolic equations with measurable coefficients. Zbl 1124.35024
Kim, Doyoon; Krylov, N. V.
43
2007
Chernoff’s theorem and discrete time approximations of Brownian motion on manifolds. Zbl 1107.58014
Smolyanov, Oleg G.; von Weizsäcker, Heinrich; Wittich, Olaf
42
2007
Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1171.42003
Burenkov, Victor I.; Guliyev, Vagif S.
42
2009
Fractional Brownian sheet. (Drap brownien fractionnaire.) Zbl 1006.60029
Ayache, Antoine; Leger, Stéphanie; Pontier, Monique
41
2002
Nonlinear elliptic equations with measure data. Zbl 0815.35023
Del Vecchio, T.
41
1995
On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes. Zbl 1302.60109
Grzywny, Tomasz
39
2014
On discretization schemes for stochastic evolution equations. Zbl 1067.60049
Gyöngy, István; Millet, Annie
37
2005
On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion. Zbl 1304.35692
Mielke, A.; Peletier, M. A.; Renger, D. R. M.
37
2014
The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046
Bertoin, Jean; Yor, Marc
35
2002
Boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1223.42008
Burenkov, Victor I.; Gogatishvili, Amiran; Guliyev, Vagif S.; Mustafayev, Rza Ch.
35
2011
Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains. Zbl 1121.35060
Aikawa, Hiroaki; Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
35
2007
Parabolic equations and Markov processes over \(p\)-adic fields. Zbl 1134.35005
Zúñiga-Galindo, W. A.
33
2008
Integration with respect to local time. Zbl 0964.60062
Eisenbaum, Nathalie
32
2000
On nonlinear Rayleigh quotients. Zbl 0795.35039
Lindqvist, Peter
32
1993
On a dual pair of spaces of smooth and generalized random variables. Zbl 0839.46035
Potthoff, Jürgen; Timpel, Matthias
32
1995
White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. Zbl 1196.60121
Zhang, Tusheng
32
2010
Pathwise numerical approximations of SPDEs with additive noise under non-global Lipschitz coefficients. Zbl 1176.60051
Jentzen, Arnulf
32
2009
Generalized Mehler semigroups: The non-Gaussian case. Zbl 0957.47028
Fuhrman, Marco; Röckner, Michael
31
2000
On the quasi-regularity of semi-Dirichlet forms. Zbl 0993.60075
Fitzsimmons, P. J.
31
2001
Malliavin calculus for white noise driven parabolic SPDEs. Zbl 0928.60040
Bally, Vlad; Pardoux, Etienne
31
1998
Group cohomology, harmonic functions and the first \(L^ 2\)-Betti number. Zbl 0882.22013
Bekka, Mohammed E. B.; Valette, Alain
30
1997
Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup. Zbl 0954.42010
García-Cuerva, José; Mauceri, Giancarlo; Sjögren, Peter; Torrea, José-Luis
30
1999
Green function estimates and Harnack inequality for subordinate Brownian motions. Zbl 1107.60042
Rao, Murali; Song, Renming; Vondraček, Zoran
30
2006
Multipliers and Morrey spaces. Zbl 1267.42024
Lemarié-Rieusset, Pierre Gilles
30
2013
Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains. Zbl 1269.47053
Kohr, Mirela; Lanza de Cristoforis, Massimo; Wendland, Wolfgang L.
30
2013
Invariant measures and symmetry property of Lévy type operators. Zbl 0978.60096
Albeverio, Sergio; Rüdiger, Barbara; Wu, Jiang-Lun
29
2000
Rate of convergence of space time approximations for stochastic evolution equations. Zbl 1168.60025
Gyöngy, István; Millet, Annie
29
2009
Convolution-type derivatives, hitting-times of subordinators and time-changed \(C_0\)-semigroups. Zbl 1315.60050
Toaldo, Bruno
28
2015
On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem. Zbl 1296.45009
Mikulevicius, R.; Pragarauskas, H.
28
2014
On the small time asymptotics of diffusion processes on path groups. Zbl 0993.60026
Aida, Shigeki; Zhang, Tusheng
28
2002
Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\). Zbl 1315.35048
Passarelli Di Napoli, Antonia
28
2014
Non-coercive linear elliptic problems. Zbl 1161.35362
Droniou, Jérôme
27
2002
Invariance of closed convex sets and domination criteria for semigroups. Zbl 0868.47029
Ouhabaz, El-Maati
27
1996
Compact differences of composition operators on the Bergman spaces over the ball. Zbl 1281.47012
Choe, Boo Rim; Koo, Hyungwoon; Park, Inyoung
27
2014
Existence and smoothness of the density for spatially homogeneous SPDEs. Zbl 1133.60029
Nualart, David; Quer-Sardanyons, Lluís
27
2007
Sobolev inequalities on homogeneous spaces. Zbl 0833.46020
Biroli, Marco; Mosco, Umberto
26
1995
Moser-type inequalities in Lorentz spaces. Zbl 0856.46020
Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido
26
1996
Diffusion equations and geometric inequalities. Zbl 0976.60065
Borell, Christer
26
2000
Estimates of the Green function for the fractional Laplacian perturbed by gradient. Zbl 1238.35018
Bogdan, Krzysztof; Jakubowski, Tomasz
26
2012
Hausdorff measures on the Wiener space. Zbl 1081.28500
Feyel, D.; de La Pradelle, A.
26
1992
Adams’ inequality and limiting Sobolev embeddings into Zygmund spaces. Zbl 1279.46025
Tarsi, Cristina
25
2012
Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients. Zbl 1023.35041
Liskevich, Vitali; Sobol, Zeev
24
2003
Stochastic Navier-Stokes equations driven by Lévy noise in unbounded 3D domains. Zbl 1282.35282
Motyl, Elżbieta
24
2013
Regularity of Ornstein-Uhlenbeck processes driven by a Lévy white noise. Zbl 1187.60048
Brzeźniak, Zdzisław; Zabczyk, Jerzy
24
2010
Linear combinations of composition operators on the Fock-Sobolev spaces. Zbl 1300.47031
Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon
24
2014
Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Zbl 1306.60095
Wang, Ran; Zhang, Tusheng
23
2015
Smoothness of Brownian local times and related functionals. Zbl 0776.60092
Nualart, D.; Vives, J.
23
1992
Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators. Zbl 1172.47018
Yang, Dachun; Yang, Dongyong; Zhou, Yuan
23
2009
Riesz spherical potentials with external fields and minimal energy points separation. Zbl 1115.31003
Dragnev, P. D.; Saff, E. B.
22
2007
Estimates for the torsion function and Sobolev constants. Zbl 1246.60108
van den Berg, Michiel
22
2012
Heat kernel bounds on metric measure spaces and some applications. Zbl 1339.53043
Jiang, Renjin; Li, Huaiqian; Zhang, Huichun
22
2016
Weighted \(L^p\)-estimates for elliptic equations with measurable coefficients in nonsmooth domains. Zbl 1293.35351
Byun, Sun-Sig; Palagachev, Dian K.
22
2014
Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise. Zbl 0893.60033
Gyöngy, István; Nualart, David
21
1997
\(H^1 - L^1\) boundedness of Riesz transforms on Riemannian manifolds and on graphs. Zbl 0982.42008
Russ, Emmanuel
21
2001
Positive Toeplitz operators between the harmonic Bergman spaces. Zbl 1014.47014
Choe, Boo Rim; Koo, Hyungwoon; Yi, Heungsu
20
2002
Approximation of the invariant measure with an Euler scheme for stochastic PDEs driven by space-time white noise. Zbl 1286.35010
Bréhier, Charles-Edouard
20
2014
Compactness of commutators of Riesz potential on Morrey spaces. Zbl 1163.42004
Chen, Yanping; Ding, Yong; Wang, Xinxia
20
2009
Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients. Zbl 1271.42020
Guliyev, Vagif S.; Softova, Lubomira G.
20
2013
Random polynomials and pluripotential-theoretic extremal functions. Zbl 1308.32039
Bloom, T.; Levenberg, N.
20
2015
Asymptotic properties of generalized Feynman-Kac functionals. Zbl 0920.60009
Takeda, Masayoshi
20
1998
Dirichlet norms, capacities and generalized isoperimetric inequalities for Markov operators. Zbl 1081.31502
Kaimanovich, Vadim A.
20
1992
Hölder continuity of solutions to quasilinear elliptic equations involving measures. Zbl 0813.35016
Kilpeläinen, Tero
19
1994
Hölder regularity for solutions of ultraparabolic equations in divergence form. Zbl 0980.35081
Polidoro, Sergio; Ragusa, Maria Alessandra
19
2001
Quasi-regular Dirichlet forms and \(L^p\)-resolvents on measurable spaces. Zbl 1107.31006
Beznea, Lucian; Boboc, Nicu; Röckner, Michael
19
2006
Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. Zbl 1052.47033
Lescot, Paul; Röckner, Michael
19
2004
Hausdorff dimension of spectrum of one-dimensional Schrödinger operator with Sturmian potentials. Zbl 1049.81023
Liu, Qing-Hui; Wen, Zhi-Ying
19
2004
Fractional-parabolic systems. Zbl 1259.35218
Kochubei, Anatoly N.
19
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
19
2012
Harmonic calculus on fractals – a measure geometric approach. I. Zbl 1055.28002
Freiberg, U.; Zähle, M.
19
2002
Brinkman-type operators on Riemannian manifolds: Transmission problems in Lipschitz and \(C ^{1}\) domains. Zbl 1203.35092
Kohr, Mirela; Pintea, Cornel; Wendland, Wolfgang L.
19
2010
White noise of Poisson random measures. Zbl 1060.60069
Øksendal, Bernt; Proske, Frank
18
2004
The Brunn-Minkowski inequality for the \(n\)-dimensional logarithmic capacity of convex bodies. Zbl 1074.31007
Colesanti, Andrea; Cuoghi, Paola
18
2005
Harnack’s inequality for stable Lévy processes. Zbl 1081.60055
Bogdan, Krzysztof; Sztonyk, Paweł
18
2005
Weighted norm inequalities for operators of potential type and fractional maximal functions. Zbl 0873.42012
Sawyer, Eric T.; Wheeden, Richard L.; Zhao, Shiying
18
1996
Some estimates of higher order Riesz transform related to Schrödinger type operators. Zbl 1197.42008
Liu, Yu; Dong, Jianfeng
18
2010
Radial two weight inequality for maximal Bergman projection induced by a regular weight. Zbl 1462.30108
Korhonen, Taneli; Peláez, José Ángel; Rättyä, Jouni
2
2021
Remarks on the nonlocal Dirichlet problem. Zbl 1456.35059
Grzywny, Tomasz; Kassmann, Moritz; Leżaj, Łukasz
1
2021
Sharp weighted Trudinger-Moser inequalities with the \(L^n\) norm in the entire space \(\mathbb{R}^n\) and existence of their extremal functions. Zbl 1459.35139
Wang, Xumin; Chen, Lu
1
2021
Hessian estimates for non-divergence form elliptic equations arising from composite materials. Zbl 07328998
Dong, Hongjie; Xu, Longjuan
1
2021
Resistance forms on self-similar sets with finite ramification of finite type. Zbl 1462.28005
Cao, Shiping; Qiu, Hua
1
2021
Optimal trapping for Brownian motion: a nonlinear analogue of the torsion function. Zbl 07329011
Lu, Jianfeng; Steinerberger, Stefan
1
2021
Strong Feller property for SDEs driven by multiplicative cylindrical stable noise. Zbl 07367112
Kulczycki, Tadeusz; Ryznar, Michał; Sztonyk, Paweł
1
2021
The subelliptic heat kernel of the octonionic Hopf fibration. Zbl 07384513
Baudoin, Fabrice; Cho, Gunhee
1
2021
Ergodicity and Kolmogorov equations for dissipative SPDEs with singular drift: a variational approach. Zbl 1447.60115
Marinelli, Carlo; Scarpa, Luca
4
2020
Stability of stochastic functional differential equations with regime-switching: analysis using Dupire’s functional Itô formula. Zbl 1448.60127
Nguyen, Dang Hai; Yin, George
3
2020
Stein’s method for rough paths. Zbl 1453.60165
Coutin, L.; Decreusefond, L.
3
2020
Harnack inequality for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces. Zbl 1445.35099
Benyaiche, Allami; Khlifi, Ismail
3
2020
Beurling-Ahlfors commutators on weighted Morrey spaces and applications to Beltrami equations. Zbl 1448.42025
Tao, Jin; Yang, Dachun; Yang, Dongyong
3
2020
Unbounded weighted composition operators on Fock space. Zbl 07216720
Hai, Pham Viet
2
2020
On the essential self-adjointness of singular sub-Laplacians. Zbl 07216723
Franceschi, Valentina; Prandi, Dario; Rizzi, Luca
2
2020
(Pluri)potential compactifications. Zbl 07216729
Poletsky, Evgeny A.
2
2020
Discrete harmonic analysis associated with ultraspherical expansions. Zbl 07223210
Betancor, Jorge J.; Castro, Alejandro J.; Fariña, Juan C.; Rodríguez-Mesa, L.
2
2020
The torsion function of convex domains of high eccentricity. Zbl 1445.35129
Beck, Thomas
2
2020
Dyadic norm Besov-type spaces as trace spaces on regular trees. Zbl 1464.46044
Koskela, Pekka; Wang, Zhuang
2
2020
Quasiopen sets, bounded variation and lower semicontinuity in metric spaces. Zbl 1435.30165
Lahti, Panu
2
2020
Irreducibility and asymptotics of stochastic Burgers equation driven by \(\alpha \)-stable processes. Zbl 07174055
Dong, Zhao; Wang, Feng-Yu; Xu, Lihu
2
2020
Mean value property and harmonicity on Carnot-Carathéodory groups. Zbl 1437.35170
Adamowicz, Tomasz; Warhurst, Ben
2
2020
Multiplicity and concentration results for fractional Schrödinger-Poisson equations with magnetic fields and critical growth. Zbl 1439.35027
Ambrosio, Vincenzo
2
2020
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 1456.35147
Krejčiřík, David; Lotoreichik, Vladimir
2
2020
Green’s function for second order elliptic equations in non-divergence form. Zbl 07155467
Hwang, Sukjung; Kim, Seick
1
2020
Riesz-Fejér inequalities for harmonic functions. Zbl 1439.31001
Kayumov, Ilgiz R.; Ponnusamy, Saminathan; Kaliraj, Anbareeswaran Sairam
1
2020
Existence and concentration phenomena for a class of indefinite variational problems with critical growth. Zbl 1433.35022
Alves, Claudianor O.; Germano, Geilson F.
1
2020
Doubly Feller property of Brownian motions with Robin boundary condition. Zbl 1442.31006
Matsuura, Kouhei
1
2020
Large deviations for quasilinear parabolic stochastic partial differential equations. Zbl 1451.60064
Dong, Zhao; Zhang, Rangrang; Zhang, Tusheng
1
2020
Solutions of SPDE’s associated with a stochastic flow. Zbl 1451.60062
Bhar, Suprio; Rajeev, Bhaskaran; Sarkar, Barun
1
2020
Brownian loops topology. Zbl 1443.60082
Le Jan, Yves
1
2020
Quantitative Fatou theorems and uniform rectifiability. Zbl 1453.31010
Bortz, Simon; Hofmann, Steve
1
2020
Blow-up results for space-time fractional stochastic partial differential equations. Zbl 1453.60113
Asogwa, Sunday A.; Mijena, Jebessa B.; Nane, Erkan
1
2020
Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry. Zbl 1442.35056
Große, Nadine; Nistor, Victor
1
2020
Decoupled mild solutions of path-dependent PDEs and integro PDEs represented by BSDEs driven by cadlag martingales. Zbl 1453.60114
Barrasso, Adrien; Russo, Francesco
1
2020
Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities. Zbl 1444.91020
Arroyo, Ángel; Luiro, Hannes; Parviainen, Mikko; Ruosteenoja, Eero
1
2020
Green’s identities, comparison principle and uniqueness of positive solutions for nonlinear \(p\)-sub-Laplacian equations on stratified Lie groups. Zbl 1442.35492
Ruzhansky, Michael; Suragan, Durvudkhan
1
2020
Reilly-type inequalities for Paneitz and Steklov eigenvalues. Zbl 1447.35233
Roth, Julien
1
2020
On the Cauchy problem for nondegenerate parabolic integro-differential equations in the scale of generalized Hölder spaces. Zbl 1447.35341
Mikulevičius, R.; Xu, Fanhui
1
2020
John and uniform domains in generalized Siegel boundaries. Zbl 1447.53032
Monti, Roberto; Morbidelli, Daniele
1
2020
A boundary estimate for degenerate parabolic diffusion equations. Zbl 1447.35199
Gianazza, Ugo; Liao, Naian
1
2020
Heat kernel estimates of fractional Schrödinger operators with negative Hardy potential. Zbl 1459.60153
Jakubowski, Tomasz; Wang, Jian
1
2020
Dimension drop for harmonic measure on Ahlfors regular boundaries. Zbl 1452.31006
Azzam, Jonas
1
2020
Schwarz lemma, and distortion for harmonic functions via length and area. Zbl 1451.30049
Mateljević, M.
1
2020
Boundedness of operators on certain weighted Morrey spaces beyond the Muckenhoupt range. Zbl 1453.42019
Duoandikoetxea, Javier; Rosenthal, Marcel
1
2020
Another look at the Hartman-Watson distributions. Zbl 1454.60125
Jakubowski, Jacek; Wiśniewolski, Maciej
1
2020
Deep factorisation of the stable process III: the view from radial excursion theory and the point of closest reach. Zbl 1460.60024
Kyprianou, Andreas E.; Rivero, Victor; Satitkanitkul, Weerapat
1
2020
A decomposition of Calderón-Zygmund type and some observations on differentiation of integrals on the infinite-dimensional torus. Zbl 1443.43007
Fernández, Emilio; Roncal, Luz
1
2020
Multiple sets exponential concentration and higher order eigenvalues. Zbl 1434.35026
Gozlan, Nathaël; Herry, Ronan
1
2020
The horizontal heat kernel on the quaternionic anti-de Sitter spaces and related twistor spaces. Zbl 1462.53045
Baudoin, Fabrice; Demni, Nizar; Wang, Jing
1
2020
The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials. Zbl 1435.60036
Kaleta, Kamil; Pietruska-Pałuba, Katarzyna
1
2020
Harmonic measures, Green potentials and semigroups of holomorphic functions. Zbl 1436.31008
Kourou, Maria
1
2020
Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation. Zbl 1433.81084
Remizov, Ivan D.
1
2020
Weighted Calderón-Zygmund estimates for weak solutions of quasi-linear degenerate elliptic equations. Zbl 1435.35174
Phan, Tuoc
1
2020
Long time behavior of the volume of the Wiener sausage on Dirichlet spaces. Zbl 07174057
Okamura, Kazuki
1
2020
Properties of mean value sets: angle conditions, blowup solutions, and nonconvexity. Zbl 1437.35202
Armstrong, Niles
1
2020
Quasilinear and Hessian Lane-Emden type systems with measure data. Zbl 1441.35135
Bidaut-Véron, Marie-Françoise; Nguyen, Quoc-Hung; Véron, Laurent
1
2020
Schauder type estimates for “flat” viscosity solutions to non-convex fully nonlinear parabolic equations and applications. Zbl 1407.35037
da Silva, João Vítor; dos Prazeres, Disson
9
2019
Weighted composition operators between different Fock spaces. Zbl 1411.30040
Tien, Pham Trong; Khoi, Le Hai
9
2019
A note on Hardy inequalities on homogeneous groups. Zbl 1427.43013
Lam, Nguyen
6
2019
Multiplicity and concentration results for a fractional Choquard equation via penalization method. Zbl 1408.35001
Ambrosio, Vincenzo
6
2019
Muckenhoupt \(A_p\)-properties of distance functions and applications to Hardy-Sobolev-type inequalities. Zbl 1405.42031
Dyda, Bartłomiej; Ihnatsyeva, Lizaveta; Lehrbäck, Juha; Tuominen, Heli; Vähäkangas, Antti V.
6
2019
Generalized \(\Gamma\) calculus and application to interacting particles on a graph. Zbl 1411.58013
Monmarché, Pierre
5
2019
On the classification of stable solutions of the fractional equation. Zbl 1414.35079
Rahal, Belgacem; Zaidi, Cherif
5
2019
The Boundary Harnack principle for nonlocal elliptic operators in non-divergence form. Zbl 07127781
Ros-Oton, Xavier; Serra, Joaquim
4
2019
Convergence types and rates in generic Karhunen-Loève expansions with applications to sample path properties. Zbl 07127783
Steinwart, Ingo
4
2019
Geometry of mean value sets for general divergence form uniformly elliptic operators. Zbl 1410.35045
Aryal, Ashok; Blank, Ivan
4
2019
On \(L^p\)-resolvent estimates for second-order elliptic equations in divergence form. Zbl 1409.35067
Kang, Byungsoo; Kim, Hyunseok
4
2019
\(L_\infty\)-estimates for the torsion function and \(L_{\infty}\)-growth of semigroups satisfying Gaussian bounds. Zbl 1428.35258
Vogt, Hendrik
4
2019
Weighted fractional Leibniz-type rules for bilinear multiplier operators. Zbl 1418.42024
Brummer, Joshua; Naibo, Virginia
4
2019
A sufficient condition to a regular set being of positive measure on spaces. Zbl 1420.53050
Kitabeppu, Yu
4
2019
Stochastic completeness and gradient representations for Sub-Riemannian manifolds. Zbl 07086015
Grong, Erlend; Thalmaier, Anton
4
2019
An alternative concept of Riesz energy of measures with application to generalized condensers. Zbl 1432.31006
Fuglede, Bent; Zorii, Natalia
3
2019
On the Cauchy problem for integro-differential equations in the scale of spaces of generalized smoothness. Zbl 1419.35195
Mikulevičius, R.; Phonsom, C.
3
2019
A density result for homogeneous Sobolev spaces on planar domains. Zbl 1442.46026
Nandi, Debanjan; Rajala, Tapio; Schultz, Timo
2
2019
Perturbed divisible sandpiles and quadrature surfaces. Zbl 1433.31004
Aleksanyan, Hayk; Shahgholian, Henrik
2
2019
Boundary representations of \(\lambda \)-harmonic and polyharmonic functions on trees. Zbl 1429.31007
Picardello, Massimo A.; Woess, Wolfgang
2
2019
Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by \(A_{\infty}\)-type weights. Zbl 07017809
Cascante, Carme; Fàbrega, Joan; Peláez, José A.
2
2019
Regularity properties for solutions of infinite dimensional Kolmogorov equations in Hilbert spaces. Zbl 1431.60051
Andersson, Adam; Hefter, Mario; Jentzen, Arnulf; Kurniawan, Ryan
2
2019
Julia sets of orthogonal polynomials. Zbl 1412.42065
Christiansen, Jacob Stordal; Henriksen, Christian; Pedersen, Henrik Laurberg; Petersen, Carsten Lunde
2
2019
Harnack’s inequality for quasilinear elliptic equations with singular absorption term. Zbl 1415.35065
Skrypnik, I. I.
2
2019
On the rate of almost everywhere convergence of combinations and multivariate averages. Zbl 1428.41039
Chen, Jiecheng; Fan, Dashan; Zhao, Fayou
1
2019
Domains of existence for finely holomorphic functions. Zbl 1431.30036
Fuglede, Bent; Groot, Alan; Wiegerinck, Jan
1
2019
Positive harmonic functions of transformed random walks. Zbl 1448.60163
Forghani, Behrang; Mallahi-Karai, Keivan
1
2019
Commutators of singular integrals with kernels satisfying generalized Hörmander conditions and extrapolation results to the variable exponent spaces. Zbl 1440.42087
Melchiori, Luciana; Pradolini, Gladis
1
2019
Stochastic calculus with respect to Gaussian processes. Zbl 1442.60043
Lebovits, Joachim
1
2019
Regularization by noise in one-dimensional continuity equation. Zbl 1447.60119
Olivera, Christian
1
2019
A dynamic model for the two-parameter Dirichlet process. Zbl 1418.60045
Feng, Shui; Sun, Wei
1
2019
\(H^2\)-scattering for systems of weakly coupled Fourth-order NLS equations in low space Dimensions. Zbl 1422.35026
Tarulli, M.
1
2019
Convergence of continuous stochastic processes on compact metric spaces converging in the Lipschitz distance. Zbl 1442.60040
Suzuki, Kohei
1
2019
Quasilinear parabolic stochastic evolution equations via maximal \(L^p\)-regularity. Zbl 1433.60055
Hornung, Luca
1
2019
Differential tests for plurisubharmonic functions and Koch curves. Zbl 1421.32045
Dinew, Sławomir; Dinew, Żywomir
1
2019
Radial length, radial John disks and \(K\)-quasiconformal harmonic mappings. Zbl 1416.30011
Chen, Shaolin; Ponnusamy, Saminathan
1
2019
The best constant in the embedding of \(W^{N,1}(\mathbb{R}^N)\) into \(L^{\infty }(\mathbb {R} ^{N})\). Zbl 1421.46031
Shafrir, Itai
1
2019
Existence of solution for an asymptotically linear Schrödinger-Kirchhoff equation. Zbl 1423.35094
Batista, Alex M.; Furtado, Marcelo F.
1
2019
Heat kernels of non-symmetric jump processes: beyond the stable case. Zbl 1409.60116
Kim, Panki; Song, Renming; Vondraček, Zoran
15
2018
Stochastic reaction-diffusion equations driven by jump processes. Zbl 1398.60077
Brzeźniak, Zdzisław; Hausenblas, Erika; Razafimandimby, Paul André
14
2018
Continuity of solutions of a class of fractional equations. Zbl 1407.35205
Dang, Duc Trong; Nane, Erkan; Nguyen, Dang Minh; Tuan, Nguyen Huy
14
2018
Local maximality for bounded plurifinely plurisubharmonic functions. Zbl 1383.32009
Hong, Nguyen Xuan; Hai, Le Mau; Viet, Hoang
7
2018
Hamilton-Jacobi equations on graph and applications. Zbl 06837312
Shu, Yan
6
2018
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Cited by 5,606 Authors

61 Chen, Zhen-Qing
54 Kim, Panki
54 Song, Renming
49 Yang, Dachun
44 Zhang, Tusheng S.
43 Sawano, Yoshihiro
42 Röckner, Michael
41 Guliyev, Vagif Sabir
40 Nualart, David
39 Yan, Litan
37 Albeverio, Sergio A.
36 Strichartz, Robert S.
34 Dong, Hongjie
34 Warma, Mahamadi
31 Brzeźniak, Zdzisław
31 Wang, Feng-Yu
29 Lu, Guozhen
29 Shimomura, Tetsu
28 Baudoin, Fabrice
28 Bogdan, Krzysztof
27 Saloff-Coste, Laurent
26 Klimsiak, Tomasz
26 Tudor, Ciprian A.
25 Beznea, Lucian
25 Björn, Anders
25 Shanmugalingam, Nageswari
25 Teplyaev, Alexander
24 Jentzen, Arnulf
24 Mizuta, Yoshihiro
23 Øksendal, Bernt Karsten
23 Takeda, Masayoshi
23 Vondraček, Zoran
23 Wang, Jian
22 Björn, Jana
22 Wendland, Wolfgang L.
22 Yuan, Wen
22 Zhang, Xicheng
20 Bass, Richard F.
20 Grzywny, Tomasz
20 Jumarie, Guy M.
20 Kohr, Mirela
20 Koskela, Pekka
20 Maz’ya, Vladimir Gilelevich
20 Schilling, René Leander
20 Tindel, Samy
19 Byun, Sun-Sig
19 Hansen, Wolfhard
19 Hausenblas, Erika
19 Jakubowski, Tomasz
19 Ohno, Takao
19 Ren, Yong
19 Saff, Edward Barry
18 Bañuelos, Rodrigo
18 Choe, Boo Rim
18 Harjulehto, Petteri
18 Kulczycki, Tadeusz
18 Kumagai, Takashi
18 Mâagli, Habib
17 Grothaus, Martin
17 Gyöngy, István
17 Jørgensen, Palle E. T.
17 Kim, Doyoon
17 Kuwae, Kazuhiro
17 Ryznar, Michał
17 Smolyanov, Oleg Georgievich
17 Veraar, Mark C.
17 Zhai, Jianliang
16 Gordina, Maria
16 Lam, Nguyen
16 Liu, Wei
16 ter Elst, Antonius Frederik Maria
15 Ambrosio, Luigi
15 Bendikov, Alexander D.
15 Hu, Mingshang
15 Kassmann, Moritz
15 Kinnunen, Juha
15 Koo, Hyungwoon
15 Levine, Lionel
15 Priola, Enrico
15 Proske, Frank Norbert
15 Russo, Francesco
15 van den Berg, Michiel
15 van Neerven, Jan M. A. M.
15 Xiao, Yimin
15 Yuan, Chenggui
15 Zorii, Natalia
14 Cianchi, Andrea
14 Duan, Jinqiao
14 Fuglede, Bent
14 Górka, Przemysław
14 Grigor’yan, Alexander Asaturovich
14 Hinz, Michael
14 Kaleta, Kamil
14 Kim, KyeongHun
14 Krylov, Nicolaĭ Vladimirovich
14 Mercaldo, Anna
14 Nane, Erkan
14 Passarelli di Napoli, Antonia
14 Patie, Pierre
14 Rozkosz, Andrzej
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Cited in 530 Journals

420 Potential Analysis
311 Journal of Functional Analysis
290 Journal of Mathematical Analysis and Applications
262 Stochastic Processes and their Applications
190 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
180 Journal of Differential Equations
148 Transactions of the American Mathematical Society
106 The Annals of Probability
103 Calculus of Variations and Partial Differential Equations
93 Proceedings of the American Mathematical Society
91 Journal of Theoretical Probability
80 Statistics & Probability Letters
79 Stochastic Analysis and Applications
78 Probability Theory and Related Fields
74 Infinite Dimensional Analysis, Quantum Probability and Related Topics
72 Mathematische Zeitschrift
69 The Journal of Geometric Analysis
65 Advances in Mathematics
65 Annali di Matematica Pura ed Applicata. Serie Quarta
61 Journal of Evolution Equations
61 Stochastics and Dynamics
59 Mathematische Annalen
58 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
57 Journal de Mathématiques Pures et Appliquées. Neuvième Série
57 Complex Variables and Elliptic Equations
51 Acta Mathematica Sinica. English Series
50 Bernoulli
49 Mathematische Nachrichten
49 Communications on Pure and Applied Analysis
49 Science China. Mathematics
47 Journal d’Analyse Mathématique
47 The Journal of Fourier Analysis and Applications
46 Comptes Rendus. Mathématique. Académie des Sciences, Paris
45 Journal of Mathematical Physics
41 Discrete and Continuous Dynamical Systems
40 Stochastics
39 Communications in Mathematical Physics
39 Electronic Journal of Probability
39 Stochastic and Partial Differential Equations. Analysis and Computations
38 Journal of Statistical Physics
38 Revista Matemática Iberoamericana
38 Bulletin des Sciences Mathématiques
37 Frontiers of Mathematics in China
36 Abstract and Applied Analysis
35 The Annals of Applied Probability
34 Journal of Inequalities and Applications
32 Communications in Partial Differential Equations
32 NoDEA. Nonlinear Differential Equations and Applications
31 Archive for Rational Mechanics and Analysis
29 Applied Mathematics and Computation
29 Journal of Computational and Applied Mathematics
29 Discrete and Continuous Dynamical Systems. Series B
29 Journal of Function Spaces
28 Integral Equations and Operator Theory
28 Journal of Mathematical Sciences (New York)
28 Positivity
28 Complex Analysis and Operator Theory
27 SIAM Journal on Mathematical Analysis
27 Communications in Contemporary Mathematics
27 Mediterranean Journal of Mathematics
26 Computers & Mathematics with Applications
26 Manuscripta Mathematica
26 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
25 Tohoku Mathematical Journal. Second Series
25 Annales Academiae Scientiarum Fennicae. Mathematica
25 Analysis and Mathematical Physics
24 Mathematical Methods in the Applied Sciences
24 Zeitschrift für Analysis und ihre Anwendungen
24 Acta Applicandae Mathematicae
23 Annales de l’Institut Fourier
23 Archiv der Mathematik
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22 Journal of Approximation Theory
22 Journal of the Mathematical Society of Japan
22 Forum Mathematicum
21 Applied Mathematics and Optimization
21 Fractional Calculus & Applied Analysis
21 Revista Matemática Complutense
20 Illinois Journal of Mathematics
20 Constructive Approximation
20 Banach Journal of Mathematical Analysis
19 Mathematical Notes
19 Czechoslovak Mathematical Journal
19 Monatshefte für Mathematik
18 Applicable Analysis
18 Arkiv för Matematik
18 Boundary Value Problems
17 Collectanea Mathematica
17 Chinese Annals of Mathematics. Series B
16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Siberian Mathematical Journal
16 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
16 Advances in Calculus of Variations
15 Israel Journal of Mathematics
15 Studia Mathematica
15 Mathematics of Computation
15 Results in Mathematics
15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
15 Georgian Mathematical Journal
15 Advanced Nonlinear Studies
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Cited in 58 Fields

2,942 Probability theory and stochastic processes (60-XX)
2,601 Partial differential equations (35-XX)
946 Operator theory (47-XX)
894 Functional analysis (46-XX)
886 Potential theory (31-XX)
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346 Measure and integration (28-XX)
339 Real functions (26-XX)
330 Numerical analysis (65-XX)
319 Functions of a complex variable (30-XX)
293 Differential geometry (53-XX)
289 Calculus of variations and optimal control; optimization (49-XX)
193 Several complex variables and analytic spaces (32-XX)
189 Ordinary differential equations (34-XX)
183 Statistical mechanics, structure of matter (82-XX)
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143 Fluid mechanics (76-XX)
122 Systems theory; control (93-XX)
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115 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
114 Combinatorics (05-XX)
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