## 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: 1,397 Publications (since 1992) References Indexed: 1,068 Publications with 25,431 References.
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### Latest Issues

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### Authors

 14 van den Berg, Michiel 13 Albeverio, Sergio A. 13 Boboc, Nicu 13 Hansen, Wolfhard 12 Gyöngy, István 12 Wang, Feng-Yu 11 Beznea, Lucian 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 Privault, Nicolas 8 Ryznar, Michał 7 Bañuelos, Rodrigo 7 Bogdan, Krzysztof 7 Choe, Boo Rim 7 Kim, KyeongHun 7 Netuka, Ivan 7 Tindel, Samy 6 Baudoin, Fabrice 6 de la Pradelle, Arnaud 6 Gilkey, Peter B. 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 Øksendal, Bernt Karsten 5 Oshima, Yoichi 5 Pavlović, Miroslav 5 Saff, Edward Barry 5 Shahgholian, Henrik 5 Shanmugalingam, Nageswari 5 Singman, David 5 Song, Shiqi 5 Sturm, Karl-Theodor 5 Sun, Wei 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 Skrypnik, Igor Igorievich 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 Breton, Jean-Christophe ...and 1,465 more Authors
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### Fields

 599 Probability theory and stochastic processes (60-XX) 487 Partial differential equations (35-XX) 479 Potential theory (31-XX) 193 Operator theory (47-XX) 149 Functional analysis (46-XX) 145 Global analysis, analysis on manifolds (58-XX) 120 Harmonic analysis on Euclidean spaces (42-XX) 76 Differential geometry (53-XX) 63 Measure and integration (28-XX) 62 Functions of a complex variable (30-XX) 55 Real functions (26-XX) 45 Several complex variables and analytic spaces (32-XX) 45 Abstract harmonic analysis (43-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 28 Combinatorics (05-XX) 27 Ordinary differential equations (34-XX) 26 Topological groups, Lie groups (22-XX) 21 Quantum theory (81-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Numerical analysis (65-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Fluid mechanics (76-XX) 13 Integral equations (45-XX) 12 Approximations and expansions (41-XX) 11 Difference and functional equations (39-XX) 9 Special functions (33-XX) 6 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 6 Geometry (51-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-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) 4 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 3 Statistics (62-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 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)

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The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets. Zbl 1307.31022
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Parabolic Harnack inequality for divergence form second order differential operators. Zbl 0840.31006
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Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile. Zbl 1165.82309
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Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. I. Zbl 0915.60069
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Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
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The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004
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On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion. Zbl 1304.35692
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Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1171.42003
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Nonlinear elliptic equations with measure data. Zbl 0815.35023
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Fractional Brownian sheet. (Drap brownien fractionnaire.) Zbl 1006.60029
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Chernoff’s theorem and discrete time approximations of Brownian motion on manifolds. Zbl 1107.58014
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2007
Boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1223.42008
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On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes. Zbl 1302.60109
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2014
Boundary Harnack principle for $$p$$-harmonic functions in smooth Euclidean domains. Zbl 1121.35060
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2007
On discretization schemes for stochastic evolution equations. Zbl 1067.60049
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2005
The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046
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2002
Generalized Mehler semigroups: The non-Gaussian case. Zbl 0957.47028
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2000
Convolution-type derivatives, hitting-times of subordinators and time-changed $$C_0$$-semigroups. Zbl 1315.60050
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2015
On a dual pair of spaces of smooth and generalized random variables. Zbl 0839.46035
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1995
Pathwise numerical approximations of SPDEs with additive noise under non-global Lipschitz coefficients. Zbl 1176.60051
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2009
On nonlinear Rayleigh quotients. Zbl 0795.35039
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Integration with respect to local time. Zbl 0964.60062
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2000
Parabolic equations and Markov processes over $$p$$-adic fields. Zbl 1134.35005
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2008
Multipliers and Morrey spaces. Zbl 1267.42024
Lemarié-Rieusset, Pierre Gilles
2013
White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. Zbl 1196.60121
Zhang, Tusheng
2010
Malliavin calculus for white noise driven parabolic SPDEs. Zbl 0928.60040
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Group cohomology, harmonic functions and the first $$L^ 2$$-Betti number. Zbl 0882.22013
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1997
On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem. Zbl 1296.45009
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2014
Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup. Zbl 0954.42010
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1999
Non-coercive linear elliptic problems. Zbl 1161.35362
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2002
On the quasi-regularity of semi-Dirichlet forms. Zbl 0993.60075
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2001
Invariance of closed convex sets and domination criteria for semigroups. Zbl 0868.47029
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1996
Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case $$p=n=2$$. Zbl 1315.35048
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2014
Stochastic Navier-Stokes equations driven by Lévy noise in unbounded 3D domains. Zbl 1282.35282
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2013
Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains. Zbl 1269.47053
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2013
Existence and smoothness of the density for spatially homogeneous SPDEs. Zbl 1133.60029
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2007
Green function estimates and Harnack inequality for subordinate Brownian motions. Zbl 1107.60042
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2006
Invariant measures and symmetry property of Lévy type operators. Zbl 0978.60096
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2000
Rate of convergence of space time approximations for stochastic evolution equations. Zbl 1168.60025
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2009
Compact differences of composition operators on the Bergman spaces over the ball. Zbl 1281.47012
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2014
On the small time asymptotics of diffusion processes on path groups. Zbl 0993.60026
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2002
Adams’ inequality and limiting Sobolev embeddings into Zygmund spaces. Zbl 1279.46025
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2012
Diffusion equations and geometric inequalities. Zbl 0976.60065
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2000
Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients. Zbl 1023.35041
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2003
Linear combinations of composition operators on the Fock-Sobolev spaces. Zbl 1300.47031
Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon
2014
Estimates of the Green function for the fractional Laplacian perturbed by gradient. Zbl 1238.35018
Bogdan, Krzysztof; Jakubowski, Tomasz
2012
Moser-type inequalities in Lorentz spaces. Zbl 0856.46020
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1996
Compactness of commutators of Riesz potential on Morrey spaces. Zbl 1163.42004
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2009
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1995
Regularity of Ornstein-Uhlenbeck processes driven by a Lévy white noise. Zbl 1187.60048
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2010
Hausdorff measures on the Wiener space. Zbl 1081.28500
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1992
Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Zbl 1306.60095
Wang, Ran; Zhang, Tusheng
2015
Heat kernel bounds on metric measure spaces and some applications. Zbl 1339.53043
Jiang, Renjin; Li, Huaiqian; Zhang, Huichun
2016
Approximation of the invariant measure with an Euler scheme for stochastic PDEs driven by space-time white noise. Zbl 1286.35010
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2014
Weighted $$L^p$$-estimates for elliptic equations with measurable coefficients in nonsmooth domains. Zbl 1293.35351
Byun, Sun-Sig; Palagachev, Dian K.
2014
Smoothness of Brownian local times and related functionals. Zbl 0776.60092
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1992
Estimates for the torsion function and Sobolev constants. Zbl 1246.60108
van den Berg, Michiel
2012
Riesz spherical potentials with external fields and minimal energy points separation. Zbl 1115.31003
Dragnev, P. D.; Saff, E. B.
2007
Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators. Zbl 1172.47018
Yang, Dachun; Yang, Dongyong; Zhou, Yuan
2009
Hölder continuous solutions to complex Hessian equations. Zbl 1302.32034
Nguyen, Ngoc Cuong
2014
The Brunn-Minkowski inequality for the $$n$$-dimensional logarithmic capacity of convex bodies. Zbl 1074.31007
Colesanti, Andrea; Cuoghi, Paola
2005
Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients. Zbl 1271.42020
Guliyev, Vagif S.; Softova, Lubomira G.
2013
Fractional differentiability for solutions of nonlinear elliptic equations. Zbl 1362.35064
Baisón, A. L.; Clop, A.; Giova, R.; Orobitg, J.; Passarelli di Napoli, A.
2017
Random polynomials and pluripotential-theoretic extremal functions. Zbl 1308.32039
Bloom, T.; Levenberg, N.
2015
Hölder regularity for solutions of ultraparabolic equations in divergence form. Zbl 0980.35081
Polidoro, Sergio; Ragusa, Maria Alessandra
2001
$$H^1 - L^1$$ boundedness of Riesz transforms on Riemannian manifolds and on graphs. Zbl 0982.42008
Russ, Emmanuel
2001
Positive Toeplitz operators between the harmonic Bergman spaces. Zbl 1014.47014
Choe, Boo Rim; Koo, Hyungwoon; Yi, Heungsu
2002
Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise. Zbl 0893.60033
Gyöngy, István; Nualart, David
1997
Continuity of solutions of a class of fractional equations. Zbl 1407.35205
Dang, Duc Trong; Nane, Erkan; Nguyen, Dang Minh; Tuan, Nguyen Huy
2018
Fractional-parabolic systems. Zbl 1259.35218
Kochubei, Anatoly N.
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
Asymptotic properties of generalized Feynman-Kac functionals. Zbl 0920.60009
Takeda, Masayoshi
1998
Harmonic calculus on fractals – a measure geometric approach. I. Zbl 1055.28002
Freiberg, U.; Zähle, M.
2002
Nonlinear anisotropic elliptic and parabolic equations in $$\mathbb R^{N}$$ with advection and lower order terms and locally integrable data. Zbl 1087.35035
Bendahmane, Mostafa; Karlsen, Kenneth H.
2005
Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. Zbl 1052.47033
Lescot, Paul; Röckner, Michael
2004
Hausdorff dimension of spectrum of one-dimensional Schrödinger operator with Sturmian potentials. Zbl 1049.81023
Liu, Qing-Hui; Wen, Zhi-Ying
2004
Dirichlet norms, capacities and generalized isoperimetric inequalities for Markov operators. Zbl 1081.31502
1992
Fock-Sobolev spaces of fractional order. Zbl 1327.32009
Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon
2015
Quasi-regular Dirichlet forms and $$L^p$$-resolvents on measurable spaces. Zbl 1107.31006
Beznea, Lucian; Boboc, Nicu; Röckner, Michael
2006
Some estimates of higher order Riesz transform related to Schrödinger type operators. Zbl 1197.42008
Liu, Yu; Dong, Jianfeng
2010
Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics. Zbl 07464233
Hardin, Douglas P.; Petrache, Mircea; Saff, Edward B.
2022
On the failure of multilinear multiplier theorem with endpoint smoothness conditions. Zbl 1482.42016
Park, Bae Jun
2022
Radial two weight inequality for maximal Bergman projection induced by a regular weight. Zbl 1462.30108
Korhonen, Taneli; Peláez, José Ángel; Rättyä, Jouni
2021
Strong Feller property for SDEs driven by multiplicative cylindrical stable noise. Zbl 07367112
Kulczycki, Tadeusz; Ryznar, Michał; Sztonyk, Paweł
2021
Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions. Zbl 1480.60227
Kawamoto, Yosuke; Osada, Hirofumi; Tanemura, Hideki
2021
Remarks on the nonlocal Dirichlet problem. Zbl 1456.35059
Grzywny, Tomasz; Kassmann, Moritz; Leżaj, Łukasz
2021
Weak limits of the measures of maximal entropy for orthogonal polynomials. Zbl 1460.42042
Petersen, Carsten Lunde; Uhre, Eva
2021
Limiting weak-type behaviors for certain classical operators in harmonic analysis. Zbl 07303865
Guo, Weichao; He, Jianxun; Wu, Huoxiong
2021
A comparison theorem for nonsmooth nonlinear operators. Zbl 1471.35159
2021
Gradient Estimates in fractional Dirichlet Problems. Zbl 1460.35056
Fall, Mouhamed Moustapha; Jarohs, Sven
2021
Optimal trapping for Brownian motion: a nonlinear analogue of the torsion function. Zbl 1478.35105
Lu, Jianfeng; Steinerberger, Stefan
2021
Intrinsic differentiability and intrinsic regular surfaces in Carnot groups. Zbl 1456.35206
Di Donato, Daniela
2021
Smooth orthogonal projections on Riemannian manifold. Zbl 1457.46036
Bownik, Marcin; Dziedziul, Karol; Kamont, Anna
2021
Analyticity of nonsymmetric Ornstein-Uhlenbeck semigroup with respect to a weighted Gaussian measure. Zbl 07303856
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
2021
A $$L_p$$ Brunn-Minkowski theory for logarithmic capacity. Zbl 1457.31008
Chen, Zhengmao
2021
An Itô formula for rough partial differential equations and some applications. Zbl 1477.60148
Hocquet, Antoine; Nilssen, Torstein
2021
Hessian estimates for non-divergence form elliptic equations arising from composite materials. Zbl 1472.35120
Dong, Hongjie; Xu, Longjuan
2021
Capacities, removable sets and $$L^p$$-uniqueness on Wiener spaces. Zbl 1460.31014
Hinz, Michael; Kang, Seunghyun
2021
Sharp Riesz-Fejér inequality for harmonic Hardy spaces. Zbl 1460.31005
2021
Resistance forms on self-similar sets with finite ramification of finite type. Zbl 1462.28005
Cao, Shiping; Qiu, Hua
2021
Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications. Zbl 1471.42028
Yang, Jiexing; Liu, Zongguang; Wu, Xinfeng
2021
The subelliptic heat kernel of the octonionic Hopf fibration. Zbl 1481.58012
Baudoin, Fabrice; Cho, Gunhee
2021
Asymptotic log-Harnack inequality and ergodicity for 3D Leray-$$\alpha$$ model with degenerate type noise. Zbl 1475.60119
Hong, Wei; Li, Shihu; Liu, Wei
2021
Riesz potential and maximal function for Dunkl transform. Zbl 1480.42028
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
2021
Beurling-Ahlfors commutators on weighted Morrey spaces and applications to Beltrami equations. Zbl 1448.42025
Tao, Jin; Yang, Dachun; Yang, Dongyong
2020
Boundedness of operators on certain weighted Morrey spaces beyond the Muckenhoupt range. Zbl 1453.42019
Duoandikoetxea, Javier; Rosenthal, Marcel
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
2020
Ergodicity and Kolmogorov equations for dissipative SPDEs with singular drift: a variational approach. Zbl 1447.60115
Marinelli, Carlo; Scarpa, Luca
2020
Stein’s method for rough paths. Zbl 1453.60165
Coutin, L.; Decreusefond, L.
2020
Quasiopen sets, bounded variation and lower semicontinuity in metric spaces. Zbl 1435.30165
Lahti, Panu
2020
Irreducibility and asymptotics of stochastic Burgers equation driven by $$\alpha$$-stable processes. Zbl 1471.60036
Dong, Zhao; Wang, Feng-Yu; Xu, Lihu
2020
Heat kernel estimates of fractional Schrödinger operators with negative Hardy potential. Zbl 1459.60153
Jakubowski, Tomasz; Wang, Jian
2020
Dyadic norm Besov-type spaces as trace spaces on regular trees. Zbl 1464.46044
Koskela, Pekka; Wang, Zhuang
2020
Multiplicity and concentration results for fractional Schrödinger-Poisson equations with magnetic fields and critical growth. Zbl 1439.35027
Ambrosio, Vincenzo
2020
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 1456.35147
2020
Unbounded weighted composition operators on Fock space. Zbl 07216720
Hai, Pham Viet
2020
(Pluri)potential compactifications. Zbl 1473.32012
Poletsky, Evgeny A.
2020
Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry. Zbl 1442.35056
2020
Decoupled mild solutions of path-dependent PDEs and integro PDEs represented by BSDEs driven by cadlag martingales. Zbl 1453.60114
2020
Discrete harmonic analysis associated with ultraspherical expansions. Zbl 1472.39008
Betancor, Jorge J.; Castro, Alejandro J.; Fariña, Juan C.; Rodríguez-Mesa, L.
2020
Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities. Zbl 1444.91020
Arroyo, Ángel; Luiro, Hannes; Parviainen, Mikko; Ruosteenoja, Eero
2020
Harnack inequality for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces. Zbl 1445.35099
Benyaiche, Allami; Khlifi, Ismail
2020
The torsion function of convex domains of high eccentricity. Zbl 1445.35129
Beck, Thomas
2020
Another look at the Hartman-Watson distributions. Zbl 1454.60125
Jakubowski, Jacek; Wiśniewolski, Maciej
2020
Dirichlet heat kernel for the Laplacian in a ball. Zbl 1448.35276
Małecki, Jacek; Serafin, Grzegorz
2020
On the essential self-adjointness of singular sub-Laplacians. Zbl 07216723
Franceschi, Valentina; Prandi, Dario; Rizzi, Luca
2020
On the boundary theory of subordinate killed Lévy processes. Zbl 1451.60090
Kim, Panki; Song, Renming; Vondraček, Zoran
2020
Large deviations for quasilinear parabolic stochastic partial differential equations. Zbl 1451.60064
Dong, Zhao; Zhang, Rangrang; Zhang, Tusheng
2020
Brownian loops topology. Zbl 1443.60082
Le Jan, Yves
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
2020
Riesz-Fejér inequalities for harmonic functions. Zbl 1439.31001
Kayumov, Ilgiz R.; Ponnusamy, Saminathan; Kaliraj, Anbareeswaran Sairam
2020
The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials. Zbl 1435.60036
Kaleta, Kamil; Pietruska-Pałuba, Katarzyna
2020
Mean value property and harmonicity on Carnot-Carathéodory groups. Zbl 1437.35170
2020
Reilly-type inequalities for Paneitz and Steklov eigenvalues. Zbl 1447.35233
Roth, Julien
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
2020
Quasilinear and Hessian Lane-Emden type systems with measure data. Zbl 1441.35135
Bidaut-Véron, Marie-Françoise; Nguyen, Quoc-Hung; Véron, Laurent
2020
Local times for spectrally negative Lévy processes. Zbl 1434.60211
Li, Bo; Zhou, Xiaowen
2020
Doubly Feller property of Brownian motions with Robin boundary condition. Zbl 1442.31006
Matsuura, Kouhei
2020
Solutions of SPDE’s associated with a stochastic flow. Zbl 1451.60062
Bhar, Suprio; Rajeev, Bhaskaran; Sarkar, Barun
2020
Quantitative Fatou theorems and uniform rectifiability. Zbl 1453.31010
Bortz, Simon; Hofmann, Steve
2020
Blow-up results for space-time fractional stochastic partial differential equations. Zbl 1453.60113
Asogwa, Sunday A.; Mijena, Jebessa B.; Nane, Erkan
2020
Littlewood-Paley inequalities on manifolds with ends. Zbl 1444.42020
Bui, The Anh
2020
Two-dimensional Brownian random interlacements. Zbl 1453.60136
Comets, Francis; Popov, Serguei
2020
Green’s function for second order elliptic equations in non-divergence form. Zbl 07155467
Hwang, Sukjung; Kim, Seick
2020
Existence and concentration phenomena for a class of indefinite variational problems with critical growth. Zbl 1433.35022
Alves, Claudianor O.; Germano, Geilson F.
2020
Multiple sets exponential concentration and higher order eigenvalues. Zbl 1434.35026
Gozlan, Nathaël; Herry, Ronan
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
2020
Harmonic measures, Green potentials and semigroups of holomorphic functions. Zbl 1436.31008
Kourou, Maria
2020
Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation. Zbl 1433.81084
Remizov, Ivan D.
2020
Weighted Calderón-Zygmund estimates for weak solutions of quasi-linear degenerate elliptic equations. Zbl 1435.35174
Phan, Tuoc
2020
Long time behavior of the volume of the Wiener sausage on Dirichlet spaces. Zbl 1471.60125
Okamura, Kazuki
2020
Li-Yau Harnack estimates for a heat-type equation under the geometric flow. Zbl 1434.53101
Li, Yi; Zhu, Xiaorui
2020
Properties of mean value sets: angle conditions, blowup solutions, and nonconvexity. Zbl 1437.35202
Armstrong, Niles
2020
Large deviations for stochastic nematic liquid crystals driven by multiplicative Gaussian noise. Zbl 1454.60039
Brzeźniak, Zdzisław; Manna, Utpal; Panda, Akash Ashirbad
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
2020
John and uniform domains in generalized Siegel boundaries. Zbl 1447.53032
Monti, Roberto; Morbidelli, Daniele
2020
A boundary estimate for degenerate parabolic diffusion equations. Zbl 1447.35199
Gianazza, Ugo; Liao, Naian
2020
Dimension drop for harmonic measure on Ahlfors regular boundaries. Zbl 1452.31006
Azzam, Jonas
2020
Exponential contraction in Wasserstein distances for diffusion semigroups with negative curvature. Zbl 1454.60129
Wang, Feng-Yu
2020
Schwarz lemma, and distortion for harmonic functions via length and area. Zbl 1451.30049
Mateljević, M.
2020
Weighted norm inequalities for local fractional integrals on Gaussian measure spaces. Zbl 1448.42032
Lin, Haibo; Mao, Shengchen
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
2020
Weighted composition operators between different Fock spaces. Zbl 1411.30040
Tien, Pham Trong; Khoi, Le Hai
2019
A note on Hardy inequalities on homogeneous groups. Zbl 1427.43013
Lam, Nguyen
2019
Multiplicity and concentration results for a fractional Choquard equation via penalization method. Zbl 1408.35001
Ambrosio, Vincenzo
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.
2019
Generalized $$\Gamma$$ calculus and application to interacting particles on a graph. Zbl 1411.58013
Monmarché, Pierre
2019
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
2019
A sufficient condition to a regular set being of positive measure on spaces. Zbl 1420.53050
Kitabeppu, Yu
2019
Geometry of mean value sets for general divergence form uniformly elliptic operators. Zbl 1410.35045
Aryal, Ashok; Blank, Ivan
2019
Weighted fractional Leibniz-type rules for bilinear multiplier operators. Zbl 1418.42024
Brummer, Joshua; Naibo, Virginia
2019
On the classification of stable solutions of the fractional equation. Zbl 1414.35079
Rahal, Belgacem; Zaidi, Cherif
2019
On $$L^p$$-resolvent estimates for second-order elliptic equations in divergence form. Zbl 1409.35067
Kang, Byungsoo; Kim, Hyunseok
2019
$$L_\infty$$-estimates for the torsion function and $$L_{\infty}$$-growth of semigroups satisfying Gaussian bounds. Zbl 1428.35258
Vogt, Hendrik
2019
Stochastic completeness and gradient representations for Sub-Riemannian manifolds. Zbl 1481.60156
Grong, Erlend; Thalmaier, Anton
2019
On the Cauchy problem for integro-differential equations in the scale of spaces of generalized smoothness. Zbl 1419.35195
Mikulevičius, R.; Phonsom, C.
2019
The Boundary Harnack principle for nonlocal elliptic operators in non-divergence form. Zbl 07127781
Ros-Oton, Xavier; Serra, Joaquim
2019
Convergence types and rates in generic Karhunen-Loève expansions with applications to sample path properties. Zbl 1480.60086
Steinwart, Ingo
2019
Boundary representations of $$\lambda$$-harmonic and polyharmonic functions on trees. Zbl 1429.31007
Picardello, Massimo A.; Woess, Wolfgang
2019
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### Cited by 6,153 Authors

 63 Chen, Zhen-Qing 56 Song, Renming 55 Kim, Panki 51 Yang, Dachun 45 Zhang, Tusheng S. 44 Röckner, Michael 44 Sawano, Yoshihiro 43 Nualart, David 42 Guliyev, Vagif Sabir 42 Yan, Litan 38 Albeverio, Sergio A. 37 Strichartz, Robert S. 34 Dong, Hongjie 34 Shimomura, Tetsu 34 Warma, Mahamadi 32 Brzeźniak, Zdzisław 31 Wang, Feng-Yu 30 Lu, Guozhen 29 Baudoin, Fabrice 29 Bogdan, Krzysztof 28 Saloff-Coste, Laurent 27 Jentzen, Arnulf 27 Klimsiak, Tomasz 27 Teplyaev, Alexander 26 Beznea, Lucian 26 Shanmugalingam, Nageswari 26 Tudor, Ciprian A. 26 Wang, Jian 25 Björn, Anders 25 Mizuta, Yoshihiro 24 Vondraček, Zoran 24 Yuan, Wen 23 Björn, Jana 23 Øksendal, Bernt Karsten 23 Takeda, Masayoshi 22 Hausenblas, Erika 22 Kumagai, Takashi 22 Lam, Nguyen 22 Ohno, Takao 22 Ren, Yong 22 Wendland, Wolfgang L. 22 Zhang, Xicheng 21 Grzywny, Tomasz 21 Maz’ya, Vladimir Gilelevich 21 Schilling, René Leander 21 Tindel, Samy 20 Bass, Richard F. 20 Byun, Sun-Sig 20 Hansen, Wolfhard 20 Jakubowski, Tomasz 20 Jumarie, Guy M. 20 Kohr, Mirela 20 Koskela, Pekka 20 Saff, Edward Barry 19 Grothaus, Martin 18 Bañuelos, Rodrigo 18 Choe, Boo Rim 18 Gyöngy, István 18 Harjulehto, Petteri 18 Kim, Doyoon 18 Kulczycki, Tadeusz 18 Kuwae, Kazuhiro 18 Mâagli, Habib 18 ter Elst, Antonius Frederik Maria 18 van den Berg, Michiel 18 Zhai, Jianliang 17 Gordina, Maria 17 Hu, Mingshang 17 Jørgensen, Palle E. T. 17 Liu, Wei 17 Russo, Francesco 17 Ryznar, Michał 17 Smolyanov, Oleg Georgievich 17 Sun, Wei 17 Veraar, Mark C. 17 Yuan, Chenggui 16 Bendikov, Alexander D. 16 Cianchi, Andrea 16 Hinz, Michael 16 Kinnunen, Juha 16 Koo, Hyungwoon 16 Patie, Pierre 16 Proske, Frank Norbert 16 Zheng, Shenzhou 15 Ambrosio, Luigi 15 Grigor’yan, Alexander Asaturovich 15 Kassmann, Moritz 15 Kim, KyeongHun 15 Levine, Lionel 15 Passarelli di Napoli, Antonia 15 Priola, Enrico 15 van Neerven, Jan M. A. M. 15 Xiao, Jie 15 Xiao, Yimin 15 Zorii, Natalia 14 Betancor Perez, Jorge Juan 14 Burenkov, Viktor Ivanovich 14 Duan, Jinqiao 14 Fuglede, Bent 14 Garofalo, Nicola ...and 6,053 more Authors
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### Cited in 556 Journals

 437 Potential Analysis 324 Journal of Functional Analysis 310 Journal of Mathematical Analysis and Applications 276 Stochastic Processes and their Applications 205 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 195 Journal of Differential Equations 150 Transactions of the American Mathematical Society 119 Calculus of Variations and Partial Differential Equations 113 The Annals of Probability 100 Journal of Theoretical Probability 96 Proceedings of the American Mathematical Society 92 The Journal of Geometric Analysis 87 Statistics & Probability Letters 83 Stochastic Analysis and Applications 82 Probability Theory and Related Fields 77 Infinite Dimensional Analysis, Quantum Probability and Related Topics 75 Mathematische Zeitschrift 73 Advances in Mathematics 69 Journal of Evolution Equations 68 Stochastics and Dynamics 67 Annali di Matematica Pura ed Applicata. Serie Quarta 64 Complex Variables and Elliptic Equations 62 Journal de Mathématiques Pures et Appliquées. Neuvième Série 61 Mathematische Annalen 59 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 59 Communications on Pure and Applied Analysis 54 Bernoulli 54 Acta Mathematica Sinica. English Series 53 The Journal of Fourier Analysis and Applications 50 Science China. Mathematics 49 Mathematische Nachrichten 48 Electronic Journal of Probability 47 Journal d’Analyse Mathématique 46 Comptes Rendus. Mathématique. Académie des Sciences, Paris 45 Journal of Mathematical Physics 44 Journal of Inequalities and Applications 43 Discrete and Continuous Dynamical Systems 43 Stochastic and Partial Differential Equations. Analysis and Computations 42 Journal of Statistical Physics 41 Bulletin des Sciences Mathématiques 40 Communications in Mathematical Physics 40 Revista Matemática Iberoamericana 40 The Annals of Applied Probability 40 Stochastics 38 Frontiers of Mathematics in China 36 Abstract and Applied Analysis 34 Applied Mathematics and Computation 34 Communications in Partial Differential Equations 34 NoDEA. Nonlinear Differential Equations and Applications 34 Mediterranean Journal of Mathematics 34 Complex Analysis and Operator Theory 33 Positivity 32 Archive for Rational Mechanics and Analysis 32 SIAM Journal on Mathematical Analysis 32 Discrete and Continuous Dynamical Systems. Series B 31 Journal of Mathematical Sciences (New York) 31 Journal of Function Spaces 30 Journal of Computational and Applied Mathematics 30 Communications in Contemporary Mathematics 29 Integral Equations and Operator Theory 29 Analysis and Mathematical Physics 28 Archiv der Mathematik 28 Forum Mathematicum 27 Tohoku Mathematical Journal. Second Series 27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 26 Computers & Mathematics with Applications 26 Applied Mathematics and Optimization 26 Manuscripta Mathematica 25 Journal of the Mathematical Society of Japan 25 Acta Applicandae Mathematicae 25 Annales Academiae Scientiarum Fennicae. Mathematica 25 Fractional Calculus & Applied Analysis 24 Mathematical Methods in the Applied Sciences 24 Annales de l’Institut Fourier 24 Zeitschrift für Analysis und ihre Anwendungen 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Journal of Approximation Theory 23 Revista Matemática Complutense 22 Applicable Analysis 22 Constructive Approximation 22 Boundary Value Problems 22 Banach Journal of Mathematical Analysis 20 Mathematical Notes 20 Illinois Journal of Mathematics 19 Czechoslovak Mathematical Journal 19 Monatshefte für Mathematik 19 Results in Mathematics 19 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 18 Studia Mathematica 18 Arkiv för Matematik 18 Chaos, Solitons and Fractals 18 Collectanea Mathematica 18 SIAM Journal on Control and Optimization 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Siberian Mathematical Journal 17 Chinese Annals of Mathematics. Series B 17 Georgian Mathematical Journal 17 Fractals 17 Advances in Calculus of Variations 16 Israel Journal of Mathematics ...and 456 more Journals
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### Cited in 58 Fields

 3,179 Probability theory and stochastic processes (60-XX) 2,896 Partial differential equations (35-XX) 1,040 Operator theory (47-XX) 978 Functional analysis (46-XX) 949 Potential theory (31-XX) 728 Harmonic analysis on Euclidean spaces (42-XX) 485 Global analysis, analysis on manifolds (58-XX) 384 Real functions (26-XX) 371 Measure and integration (28-XX) 364 Numerical analysis (65-XX) 361 Functions of a complex variable (30-XX) 327 Differential geometry (53-XX) 315 Calculus of variations and optimal control; optimization (49-XX) 217 Several complex variables and analytic spaces (32-XX) 207 Ordinary differential equations (34-XX) 206 Statistical mechanics, structure of matter (82-XX) 195 Dynamical systems and ergodic theory (37-XX) 191 Quantum theory (81-XX) 161 Fluid mechanics (76-XX) 144 Systems theory; control (93-XX) 127 Combinatorics (05-XX) 127 Abstract harmonic analysis (43-XX) 126 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 113 Integral equations (45-XX) 87 Topological groups, Lie groups (22-XX) 80 Approximations and expansions (41-XX) 71 Statistics (62-XX) 65 Special functions (33-XX) 61 Difference and functional equations (39-XX) 52 Mechanics of deformable solids (74-XX) 49 Biology and other natural sciences (92-XX) 47 Convex and discrete geometry (52-XX) 44 Number theory (11-XX) 36 Group theory and generalizations (20-XX) 29 Integral transforms, operational calculus (44-XX) 28 General topology (54-XX) 26 Information and communication theory, circuits (94-XX) 23 Computer science (68-XX) 21 Mechanics of particles and systems (70-XX) 20 Optics, electromagnetic theory (78-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 18 Classical thermodynamics, heat transfer (80-XX) 18 Operations research, mathematical programming (90-XX) 17 Geometry (51-XX) 12 Manifolds and cell complexes (57-XX) 8 Algebraic geometry (14-XX) 8 Algebraic topology (55-XX) 7 Geophysics (86-XX) 6 General and overarching topics; collections (00-XX) 6 Nonassociative rings and algebras (17-XX) 6 Relativity and gravitational theory (83-XX) 5 Mathematical logic and foundations (03-XX) 5 Sequences, series, summability (40-XX) 4 Field theory and polynomials (12-XX) 3 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 1 Astronomy and astrophysics (85-XX)