Potential AnalysisAn 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: https://link.springer.com/journal/11118/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,620 Publications (since 1992) References Indexed: 1,290 Publications with 32,310 References. all top 5 Latest Issues 61, No. 4 (2024) 61, No. 3 (2024) 61, No. 2 (2024) 61, No. 1 (2024) 60, No. 4 (2024) 60, No. 3 (2024) 60, No. 2 (2024) 60, No. 1 (2024) 59, No. 4 (2023) 59, No. 3 (2023) 59, No. 2 (2023) 59, No. 1 (2023) 58, No. 4 (2023) 58, No. 3 (2023) 58, No. 2 (2023) 58, No. 1 (2023) 57, No. 4 (2022) 57, No. 3 (2022) 57, No. 2 (2022) 57, No. 1 (2022) 56, No. 4 (2022) 56, No. 3 (2022) 56, No. 2 (2022) 56, No. 1 (2022) 55, No. 4 (2021) 55, No. 3 (2021) 55, No. 2 (2021) 55, No. 1 (2021) 54, No. 4 (2021) 54, No. 3 (2021) 54, No. 2 (2021) 54, No. 1 (2021) 53, No. 4 (2020) 53, No. 3 (2020) 53, No. 2 (2020) 53, No. 1 (2020) 52, No. 4 (2020) 52, No. 3 (2020) 52, No. 2 (2020) 52, No. 1 (2020) 51, No. 4 (2019) 51, No. 3 (2019) 51, No. 2 (2019) 51, No. 1 (2019) 50, No. 4 (2019) 50, No. 3 (2019) 50, No. 2 (2019) 50, No. 1 (2019) 49, No. 4 (2018) 49, No. 3 (2018) 49, No. 2 (2018) 49, No. 1 (2018) 48, No. 4 (2018) 48, No. 3 (2018) 48, No. 2 (2018) 48, No. 1 (2018) 47, No. 4 (2017) 47, No. 3 (2017) 47, No. 2 (2017) 47, No. 1 (2017) 46, No. 4 (2017) 46, No. 3 (2017) 46, No. 2 (2017) 46, No. 1 (2017) 45, No. 4 (2016) 45, No. 3 (2016) 45, No. 2 (2016) 45, No. 1 (2016) 44, No. 4 (2016) 44, No. 3 (2016) 44, No. 2 (2016) 44, No. 1 (2016) 43, No. 4 (2015) 43, No. 3 (2015) 43, No. 2 (2015) 43, No. 1 (2015) 42, No. 4 (2015) 42, No. 3 (2015) 42, No. 2 (2015) 42, No. 1 (2015) 41, No. 4 (2014) 41, No. 3 (2014) 41, No. 2 (2014) 41, No. 1 (2014) 40, No. 4 (2014) 40, No. 3 (2014) 40, No. 2 (2014) 40, No. 1 (2014) 39, No. 4 (2013) 39, No. 3 (2013) 39, No. 2 (2013) 39, No. 1 (2013) 38, No. 4 (2013) 38, No. 3 (2013) 38, No. 2 (2013) 38, No. 1 (2013) 37, No. 4 (2012) 37, No. 3 (2012) 37, No. 2 (2012) 37, No. 1 (2012) ...and 145 more Volumes all top 5 Authors 15 van den Berg, Michiel 15 Wang, Feng-Yu 14 Albeverio, Sergio A. 13 Boboc, Nicu 13 Hansen, Wolfhard 12 Gyöngy, István 12 Kim, Panki 12 Röckner, Michael 12 Zhang, Tusheng S. 11 Beznea, Lucian 11 Song, Renming 10 Nualart, David 10 Zorii, Natalia 9 Fuglede, Bent 8 Bogdan, Krzysztof 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 Baudoin, Fabrice 7 Choe, Boo Rim 7 Kim, KyeongHun 7 Netuka, Ivan 7 Tindel, Samy 7 Vondraček, Zoran 7 Yang, Dachun 6 de la Pradelle, Arnaud 6 Gilkey, Peter B. 6 Gordina, Maria 6 Hausenblas, Erika 6 Kulczycki, Tadeusz 6 Mâagli, Habib 6 Maz’ya, Vladimir Gilelevich 6 Mizuta, Yoshihiro 6 Oshima, Yoichi 6 Saff, Edward Barry 6 Shahgholian, Henrik 6 Sturm, Karl-Theodor 6 Takeda, Masayoshi 6 The Anh Bui 5 Betancor Perez, Jorge Juan 5 Björn, Anders 5 Björn, Jana 5 Chen, Zhen-Qing 5 El Kadiri, Mohamed 5 Grzywny, Tomasz 5 Kalaj, David 5 Klimsiak, Tomasz 5 Koskela, Pekka 5 Krylov, Nicolaĭ Vladimirovich 5 Latvala, Visa 5 Luo, Dejun 5 Małecki, Jacek 5 Millet, Annie 5 Nane, Erkan 5 Øksendal, Bernt Karsten 5 Pavlović, Miroslav 5 Peres, Yuval 5 Shanmugalingam, Nageswari 5 Singman, David 5 Song, Shiqi 5 Sun, Wei 5 Wang, Jing 5 Xie, Yingchao 4 Anandam, Victor 4 Arendt, Wolfgang 4 Bendikov, Alexander D. 4 Biroli, Marco 4 Bucur, Gheorghe 4 Byczkowski, Tomasz 4 Cinti, Chiara 4 Decreusefond, Laurent 4 Fariña, Juan Carlos 4 Fitzsimmons, Patrick J. 4 Getoor, Ronald Kay 4 Gorostiza, Luis G. 4 Harboure, Eleonor 4 Hardin, Douglas P. 4 Hirsch, Francis 4 Jakubowski, Tomasz 4 Kilpeläinen, Tero 4 Kondrat’yev, Yuriĭ Grygorovych 4 Lu, Guozhen 4 Martell, José María (Chema) 4 Mikulevicius, Remigijus 4 Picardello, Massimo Angelo 4 Polidoro, Sergio 4 Pradolini, Gladis G. 4 Quer-Sardanyons, Lluís 4 Rodríguez-Mesa, Lourdes 4 Rovira, Carles 4 Saloff-Coste, Laurent 4 Skrypnik, Igor Igorievich 4 Tanaka, Hitoshi 4 ter Elst, Antonius Frederik Maria 4 Uemura, Toshihiro ...and 1,799 more Authors all top 5 Fields 674 Probability theory and stochastic processes (60-XX) 577 Partial differential equations (35-XX) 521 Potential theory (31-XX) 218 Operator theory (47-XX) 180 Functional analysis (46-XX) 163 Global analysis, analysis on manifolds (58-XX) 157 Harmonic analysis on Euclidean spaces (42-XX) 92 Differential geometry (53-XX) 81 Functions of a complex variable (30-XX) 80 Real functions (26-XX) 71 Measure and integration (28-XX) 52 Abstract harmonic analysis (43-XX) 47 Several complex variables and analytic spaces (32-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 33 Combinatorics (05-XX) 31 Topological groups, Lie groups (22-XX) 30 Ordinary differential equations (34-XX) 27 Statistical mechanics, structure of matter (82-XX) 23 Dynamical systems and ergodic theory (37-XX) 22 Numerical analysis (65-XX) 22 Quantum theory (81-XX) 21 Fluid mechanics (76-XX) 18 Integral equations (45-XX) 12 Difference and functional equations (39-XX) 12 Approximations and expansions (41-XX) 11 Special functions (33-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 6 Geometry (51-XX) 6 Mechanics of particles and systems (70-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) 4 Statistics (62-XX) 4 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Systems theory; control (93-XX) 2 Mathematical logic and foundations (03-XX) 2 Sequences, series, summability (40-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-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) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,332 Publications have been cited 14,124 times in 10,773 Documents Cited by ▼ Year ▼ Stochastic analysis of the fractional Brownian motion. Zbl 0924.60034 Decreusefond, Laurent; Üstünel, Ali Süleyman 367 1999 Sobolev spaces on an arbitrary metric space. Zbl 0859.46022 Hajłasz, Piotr 327 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 299 2011 On a spectral analysis for the Sierpiński gasket. Zbl 1081.31501 Fukushima, M.; Shima, T. 154 1992 Harnack inequalities for jump processes. Zbl 0997.60089 Bass, Richard F.; Levin, David A. 134 2002 Perturbation of Dirichlet forms by measures. Zbl 0861.31004 Stollmann, Peter; Voigt, Jürgen 127 1996 Estimates of Green function for relativistic \(\alpha\)-stable process. Zbl 1004.60047 Ryznar, Michał 99 2002 Orlicz-Morrey spaces and fractional operators. Zbl 1242.42017 Sawano, Yoshihiro; Sugano, Satoko; Tanaka, Hitoshi 97 2012 Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. II. Zbl 0944.60074 Gyöngy, István 94 1999 The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values. Zbl 1120.46016 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna 93 2006 The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets. Zbl 1307.31022 Warma, Mahamadi 90 2015 Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057 Röckner, Michael; Zhang, Tusheng 90 2007 A note on Euler’s approximations. Zbl 0946.60059 Gyöngy, István 85 1998 Stochastic partial differential equations in \(M\)-type 2 Banach spaces. Zbl 0831.35161 Brzeźniak, Zdzisław 84 1995 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. 84 2014 Parabolic capacity and soft measures for nonlinear equations. Zbl 1017.35040 Droniou, Jérôme; Porretta, Alessio; Prignet, Alain 81 2003 Approximation for semilinear stochastic evolution equations. Zbl 1015.60053 Hausenblas, Erika 74 2003 Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs. Zbl 1036.35045 Palagachev, Dian K.; Softova, Lubomira G. 69 2004 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. 68 2009 Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. I. Zbl 0915.60069 Gyöngy, István 66 1998 Young integrals and SPDEs. Zbl 1103.60062 Gubinelli, Massimiliano; Lejay, Antoine; Tindel, Samy 63 2006 Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021 Kilpeläinen, Tero; Kinnunen, Juha; Martio, Olli 62 2000 Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile. Zbl 1165.82309 Levine, Lionel; Peres, Yuval 62 2009 Finite element methods for parabolic stochastic PDE’s. Zbl 1065.60082 Walsh, J. B. 61 2005 The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004 Arendt, Wolfgang; Warma, Mahamadi 60 2003 Parabolic equations with measurable coefficients. Zbl 1124.35024 Kim, Doyoon; Krylov, N. V. 60 2007 Convolution-type derivatives, hitting-times of subordinators and time-changed \(C_0\)-semigroups. Zbl 1315.60050 Toaldo, Bruno 59 2015 On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes. Zbl 1302.60109 Grzywny, Tomasz 59 2014 Parabolic Harnack inequality for divergence form second order differential operators. Zbl 0840.31006 Saloff-Coste, L. 58 1995 Boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1223.42008 Burenkov, Victor I.; Gogatishvili, Amiran; Guliyev, Vagif S.; Mustafayev, Rza Ch. 58 2011 Stochastic Navier-Stokes equations driven by Lévy noise in unbounded 3D domains. Zbl 1282.35282 Motyl, Elżbieta 54 2013 Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains. Zbl 1121.35060 Aikawa, Hiroaki; Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao 54 2007 On fractional Brownian processes. Zbl 0944.60045 Feyel, Denis; de La Pradelle, Arnaud 52 1999 Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\). Zbl 1315.35048 Passarelli Di Napoli, Antonia 50 2014 Fractional Brownian sheet. (Drap brownien fractionnaire.) Zbl 1006.60029 Ayache, Antoine; Leger, Stéphanie; Pontier, Monique 50 2002 On discretization schemes for stochastic evolution equations. Zbl 1067.60049 Gyöngy, István; Millet, Annie 50 2005 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. 49 2014 Chernoff’s theorem and discrete time approximations of Brownian motion on manifolds. Zbl 1107.58014 Smolyanov, Oleg G.; von Weizsäcker, Heinrich; Wittich, Olaf 49 2007 Nonlinear elliptic equations with measure data. Zbl 0815.35023 Del Vecchio, T. 48 1995 Multipliers and Morrey spaces. Zbl 1267.42024 Lemarié-Rieusset, Pierre Gilles 48 2013 The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046 Bertoin, Jean; Yor, Marc 47 2002 Heat kernel bounds on metric measure spaces and some applications. Zbl 1339.53043 Jiang, Renjin; Li, Huaiqian; Zhang, Huichun 46 2016 Fractional differentiability for solutions of nonlinear elliptic equations. Zbl 1362.35064 Baisón, A. L.; Clop, A.; Giova, R.; Orobitg, J.; Passarelli di Napoli, A. 46 2017 Continuity of solutions of a class of fractional equations. Zbl 1407.35205 Dang, Duc Trong; Nane, Erkan; Nguyen, Dang Minh; Tuan, Nguyen Huy 46 2018 Harmonic calculus on fractals – a measure geometric approach. I. Zbl 1055.28002 Freiberg, U.; Zähle, M. 44 2002 Generalized Mehler semigroups: The non-Gaussian case. Zbl 0957.47028 Fuhrman, Marco; Röckner, Michael 43 2000 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. 43 2013 Stochastic reaction-diffusion equations driven by jump processes. Zbl 1398.60077 Brzeźniak, Zdzisław; Hausenblas, Erika; Razafimandimby, Paul André 43 2018 Malliavin calculus for white noise driven parabolic SPDEs. Zbl 0928.60040 Bally, Vlad; Pardoux, Etienne 43 1998 White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. Zbl 1196.60121 Zhang, Tusheng 42 2010 Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients. Zbl 1271.42020 Guliyev, Vagif S.; Softova, Lubomira G. 42 2013 Non-coercive linear elliptic problems. Zbl 1161.35362 Droniou, Jérôme 42 2002 On nonlinear Rayleigh quotients. Zbl 0795.35039 Lindqvist, Peter 41 1993 Integration with respect to local time. Zbl 0964.60062 Eisenbaum, Nathalie 41 2000 Invariance of closed convex sets and domination criteria for semigroups. Zbl 0868.47029 Ouhabaz, El-Maati 41 1996 Adams’ inequality and limiting Sobolev embeddings into Zygmund spaces. Zbl 1279.46025 Tarsi, Cristina 41 2012 A remark on the equivalence between Poisson and Gaussian stochastic partial differential equations. Zbl 0926.60048 Benth, Fred Espen; Gjerde, Jon 41 1998 Invariant measures and symmetry property of Lévy type operators. Zbl 0978.60096 Albeverio, Sergio; Rüdiger, Barbara; Wu, Jiang-Lun 41 2000 Rate of convergence of space time approximations for stochastic evolution equations. Zbl 1168.60025 Gyöngy, István; Millet, Annie 41 2009 Pathwise numerical approximations of SPDEs with additive noise under non-global Lipschitz coefficients. Zbl 1176.60051 Jentzen, Arnulf 40 2009 On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact Riemannian manifold. Zbl 1304.58019 Brzeźniak, Z.; Millet, A. 40 2014 Green function estimates and Harnack inequality for subordinate Brownian motions. Zbl 1107.60042 Rao, Murali; Song, Renming; Vondraček, Zoran 40 2006 Existence and smoothness of the density for spatially homogeneous SPDEs. Zbl 1133.60029 Nualart, David; Quer-Sardanyons, Lluís 39 2007 Parabolic equations and Markov processes over \(p\)-adic fields. Zbl 1134.35005 Zúñiga-Galindo, W. A. 38 2008 On a dual pair of spaces of smooth and generalized random variables. Zbl 0839.46035 Potthoff, Jürgen; Timpel, Matthias 37 1995 Compact differences of composition operators on the Bergman spaces over the ball. Zbl 1281.47012 Choe, Boo Rim; Koo, Hyungwoon; Park, Inyoung 37 2014 Moser-type inequalities in Lorentz spaces. Zbl 0856.46020 Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido 36 1996 Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients. Zbl 1023.35041 Liskevich, Vitali; Sobol, Zeev 36 2003 Regularity of Ornstein-Uhlenbeck processes driven by a Lévy white noise. Zbl 1187.60048 Brzeźniak, Zdzisław; Zabczyk, Jerzy 36 2010 Approximation of the invariant measure with an Euler scheme for stochastic PDEs driven by space-time white noise. Zbl 1286.35010 Bréhier, Charles-Edouard 36 2014 On the small time asymptotics of diffusion processes on path groups. Zbl 0993.60026 Aida, Shigeki; Zhang, Tusheng 36 2002 Estimates for the torsion function and Sobolev constants. Zbl 1246.60108 van den Berg, Michiel 36 2012 Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup. Zbl 0954.42010 García-Cuerva, José; Mauceri, Giancarlo; Sjögren, Peter; Torrea, José-Luis 36 1999 Estimates of the Green function for the fractional Laplacian perturbed by gradient. Zbl 1238.35018 Bogdan, Krzysztof; Jakubowski, Tomasz 36 2012 Group cohomology, harmonic functions and the first \(L^ 2\)-Betti number. Zbl 0882.22013 Bekka, Mohammed E. B.; Valette, Alain 35 1997 Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Zbl 1306.60095 Wang, Ran; Zhang, Tusheng 35 2015 Linear combinations of composition operators on the Fock-Sobolev spaces. Zbl 1300.47031 Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon 35 2014 Compactness characterizations of commutators on ball Banach function spaces. Zbl 1543.47080 Tao, Jin; Yang, Dachun; Yuan, Wen; Zhang, Yangyang 35 2023 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 35 2012 Hölder regularity for solutions of ultraparabolic equations in divergence form. Zbl 0980.35081 Polidoro, Sergio; Ragusa, Maria Alessandra 34 2001 Weighted \(L^p\)-estimates for elliptic equations with measurable coefficients in nonsmooth domains. Zbl 1293.35351 Byun, Sun-Sig; Palagachev, Dian K. 33 2014 Compactness of commutators of Riesz potential on Morrey spaces. Zbl 1163.42004 Chen, Yanping; Ding, Yong; Wang, Xinxia 33 2009 On the quasi-regularity of semi-Dirichlet forms. Zbl 0993.60075 Fitzsimmons, P. J. 32 2001 Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators. Zbl 1172.47018 Yang, Dachun; Yang, Dongyong; Zhou, Yuan 32 2009 Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421 Dai, Wei; Liu, Zhao; Lu, Guozhen 32 2017 Diffusion equations and geometric inequalities. Zbl 0976.60065 Borell, Christer 31 2000 Random polynomials and pluripotential-theoretic extremal functions. Zbl 1308.32039 Bloom, T.; Levenberg, N. 31 2015 Multiplicity and concentration results for a fractional Choquard equation via penalization method. Zbl 1408.35001 Ambrosio, Vincenzo 30 2019 Fractional-parabolic systems. Zbl 1259.35218 Kochubei, Anatoly N. 30 2012 Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise. Zbl 0893.60033 Gyöngy, István; Nualart, David 29 1997 Sobolev inequalities on homogeneous spaces. Zbl 0833.46020 Biroli, Marco; Mosco, Umberto 29 1995 Hölder continuity of solutions to quasilinear elliptic equations involving measures. Zbl 0813.35016 Kilpeläinen, Tero 29 1994 Hölder continuous solutions to complex Hessian equations. Zbl 1302.32034 Nguyen, Ngoc Cuong 29 2014 Erratum to: “Multipliers and Morrey spaces”. Zbl 1302.42031 Lemarié-Rieusset, Pierre Gilles 29 2014 Fock-Sobolev spaces of fractional order. Zbl 1327.32009 Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon 29 2015 Hardy inequalities and non-explosion results for semigroups. Zbl 1335.31007 Bogdan, Krzysztof; Dyda, Bartłomiej; Kim, Panki 29 2016 Symmetric stable processes in cones. Zbl 1054.31002 Bañuelos, Rodrigo; Bogdan, Krzysztof 29 2004 On fractional capacities relative to bounded open Lipschitz sets. Zbl 1348.31001 Shi, Shaoguang; Xiao, Jie 28 2016 Smoothness of Brownian local times and related functionals. Zbl 0776.60092 Nualart, D.; Vives, J. 28 1992 Harnack’s inequality for stable Lévy processes. Zbl 1081.60055 Bogdan, Krzysztof; Sztonyk, Paweł 28 2005 Necessary cancellation conditions for the boundedness of operators on local Hardy spaces. Zbl 07873616 Dafni, Galia; Lau, Chun Ho; Picon, Tiago; Vasconcelos, Claudio 2 2024 Quadrature domains for the Helmholtz equation with applications to non-scattering phenomena. Zbl 1535.35044 Kow, Pu-Zhao; Larson, Simon; Salo, Mikko; Shahgholian, Henrik 2 2024 Extrapolation for weighted product Morrey spaces and some applications. Zbl 1546.46022 Wei, Mingquan 2 2024 Time regularity for local weak solutions of the heat equation on local Dirichlet spaces. Zbl 1536.31032 Hou, Qi; Saloff-Coste, Laurent 2 2024 Characterization of Lipschitz space via the commutators of fractional maximal functions on variable Lebesgue spaces. Zbl 1533.42032 Yang, Xuechun; Yang, Zhenzhen; Li, Baode 2 2024 Positive solutions of the \(\mathcal{A}\)-Laplace equation with a potential. Zbl 1534.35184 Hou, Yongjun; Pinchover, Yehuda; Rasila, Antti 2 2024 \(q\)-Poincaré inequalities on Carnot groups with filiform type Lie algebra. Zbl 1534.35414 Chatzakou, Marianna; Federico, Serena; Zegarlinski, Boguslaw 2 2024 Growth of harmonic mappings and Baernstein type inequalities. Zbl 1536.31003 Das, Suman; Kaliraj, Anbareeswaran Sairam 2 2024 Distribution-path dependent nonlinear SPDEs with application to stochastic transport type equations. Zbl 1545.60081 Ren, Panpan; Tang, Hao; Wang, Feng-Yu 2 2024 Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds. Zbl 07935784 Vétois, Jérôme 2 2024 A discovery tour in random Riemannian geometry. Zbl 07935785 Dello Schiavo, Lorenzo; Kopfer, Eva; Sturm, Karl-Theodor 2 2024 First Dirichlet eigenvalue and exit time moment spectra comparisons. Zbl 1545.58004 Palmer, Vicente; Sarrión-Pedralva, Erik 1 2024 Calderón-Zygmund operators on local Hardy spaces. Zbl 1531.42024 Bui, The Anh; Ly, Fu Ken 1 2024 Stochastically complete, parabolic and \(L^1\)-Liouville spacelike submanifolds with parallel mean curvature vector. Zbl 1532.53078 Barboza, Weiller F. C.; de Lima, Henrique F.; Velásquez, Marco Antonio L. 1 2024 The non-radial focusing inhomogeneous coupled Schrödinger systems in three space dimensions. Zbl 1532.35430 Saanouni, Tarek; Nafti, Hayat 1 2024 Besov-Orlicz path regularity of non-Gaussian processes. Zbl 07798453 Čoupek, Petr; Ondreját, Martin 1 2024 Large intersection property for limsup sets in metric space. Zbl 1535.37013 Hu, Zhang-nan; Li, Bing; Yang, Linqi 1 2024 Fractional Leibniz-type rules on spaces of homogeneous type. Zbl 1533.42016 Liu, Liguang; Zhang, Yuying 1 2024 Fractional higher differentiability for solutions of stationary Stokes and Navier-Stokes systems with Orlicz growth. Zbl 1533.35120 Giannetti, Flavia; Passarelli di Napoli, Antonia; Scheven, Christoph 1 2024 An improved Trudinger-Moser inequality involving \(N\)-Finsler-Laplacian and \(L^p\) norm. Zbl 07807784 Liu, Yanjun 1 2024 Removable singularities for solutions of the fractional heat equation in time varying domains. Zbl 1533.35359 Mateu, Joan; Prat, Laura 1 2024 Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups. Zbl 07815295 Cardona, Duván; Ruzhansky, Michael 1 2024 Boundary Lipschitz regularity and the Hopf lemma for fully nonlinear elliptic equations. Zbl 07815304 Lian, Yuanyuan; Zhang, Kai 1 2024 Large-time behavior of two families of operators related to the fractional Laplacian on certain Riemannian manifolds. Zbl 07896857 Papageorgiou, Effie 1 2024 A smooth 1-parameter family of Delaunay-type domains for an overdetermined elliptic problem in \(\mathbb{S}^n\times \mathbb{R}\) and \(\mathbb{H}^n\times \mathbb{R}\). Zbl 1537.35255 Dai, Guowei; Morabito, Filippo; Sicbaldi, Pieralberto 1 2024 Heyde theorem on locally compact abelian groups with the connected component of zero of dimension \(1\). Zbl 07834178 Feldman, Gennadiy 1 2024 Parabolic Muckenhoupt weights with time lag on spaces of homogeneous type with monotone geodesic property. Zbl 07834181 Kinnunen, Juha; Myyryläinen, Kim; Yang, Dachun; Zhu, Chenfeng 1 2024 Non-Gaussian measures in infinite dimensional spaces: the Gamma-Grey noise. Zbl 07834182 Beghin, Luisa; Cristofaro, Lorenzo; Gajda, Janusz 1 2024 On existence of multiple normalized solutions to a class of elliptic problems in whole \(\mathbb{R}^N\) via penalization method. Zbl 07935783 Alves, Claudianor O.; Nguyen Van Thin 1 2024 Decay rate of the eigenvalues of the Neumann-Poincaré operator. Zbl 07935787 Fukushima, Shota; Kang, Hyeonbae; Miyanishi, Yoshihisa 1 2024 A Fourier integral formula for logarithmic energy. Zbl 07957656 Frerick, L.; Müller, J.; Thomaser, T. 1 2024 Non-uniqueness in law of three-dimensional magnetohydrodynamics system forced by random noise. Zbl 07957659 Yamazaki, Kazuo 1 2024 Compactness characterizations of commutators on ball Banach function spaces. Zbl 1543.47080 Tao, Jin; Yang, Dachun; Yuan, Wen; Zhang, Yangyang 35 2023 The random normal matrix model: insertion of a point charge. Zbl 1508.82046 Ameur, Yacin; Kang, Nam-Gyu; Seo, Seong-Mi 19 2023 Large and moderate deviation principles for McKean-Vlasov SDEs with jumps. Zbl 1523.60056 Liu, Wei; Song, Yulin; Zhai, Jianliang; Zhang, Tusheng 13 2023 Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces. Zbl 1507.35351 Bignamini, D. A.; Ferrari, S. 6 2023 Analysis on trees with nondoubling flow measures. Zbl 1511.05039 Levi, Matteo; Santagati, Federico; Tabacco, Anita; Vallarino, Maria 6 2023 Large deviations and gradient flows for the Brownian one-dimensional hard-rod system. Zbl 1506.60041 Peletier, Mark; Gavish, Nir; Nyquist, Pierre 5 2023 Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions. Zbl 1525.35092 Chiacchio, Francesco; Gavitone, Nunzia; Nitsch, Carlo; Trombetti, Cristina 5 2023 Quantitative heat-kernel estimates for diffusions with distributional drift. Zbl 1517.60066 Perkowski, Nicolas; van Zuijlen, Willem 5 2023 The \(L^{\infty }\)-positivity preserving property and stochastic completeness. Zbl 1531.31015 Bisterzo, Andrea; Marini, Ludovico 5 2023 Scattering theory for a class of radial focusing inhomogeneous Hartree equations. Zbl 1512.35549 Saanouni, Tarek; Xu, Chengbin 4 2023 On potential theory of Markov processes with jump kernels decaying at the boundary. Zbl 1508.60079 Kim, Panki; Song, Renming; Vondraček, Zoran 4 2023 On potentials of Itô’s processes with drift in \(L_{d+1}\). Zbl 1533.60090 Krylov, N. V. 4 2023 Hardy factorization in terms of multilinear Calderón-Zygmund operators using Morrey spaces. Zbl 1515.42016 Dao, Nguyen Anh; Wick, Brett D. 4 2023 Heat kernels for a class of hybrid evolution equations. 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Zbl 1521.49032 Clerc, Gauthier; Conforti, Giovanni; Gentil, Ivan 3 2023 Wasserstein convergence for empirical measures of subordinated diffusions on Riemannian manifolds. Zbl 1523.58036 Wang, Feng-Yu; Wu, Bingyao 3 2023 Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise. Zbl 1521.35214 Baňas, Ľubomír; Yang, Huanyu; Zhu, Rongchan 3 2023 Hydrodynamics of the generalized \(N\)-urn Ehrenfest model. Zbl 07727165 Xue, Xiaofeng 3 2023 On the theory of capacities on locally compact spaces and its interaction with the theory of balayage. Zbl 1527.31015 Zorii, Natalia 3 2023 Convergence of energy forms on Sierpinski gaskets with added rotated triangle. Zbl 1531.31020 Cao, Shiping 3 2023 A trace inequality for solenoidal charges. Zbl 1541.46018 Raiţă, Bogdan; Spector, Daniel; Stolyarov, Dmitriy 3 2023 Diameter and Laplace eigenvalue estimates for left-invariant metrics on compact Lie groups. Zbl 1507.58005 Lauret, Emilio A. 2 2023 Energy spaces, Dirichlet forms and capacities in a nonlinear setting. Zbl 1509.31023 Claus, Burkhard 2 2023 Regularity of solutions to Kolmogorov equations with perturbed drifts. Zbl 1512.35193 Bogachev, Vladimir I.; Kosov, Egor D.; Shaposhnikov, Alexander V. 2 2023 An integration by parts formula for functionals of the Dirichlet-Ferguson measure, and applications. Zbl 1536.60044 Flint, Ian; Torrisi, Giovanni Luca 2 2023 Wolff potential estimates for supersolutions of equations with generalized Orlicz growth. Zbl 1516.35210 Benyaiche, Allami; Khlifi, Ismail 2 2023 On diffusion processes with drift in \(L_{d+1}\). Zbl 1543.60067 Krylov, N. V. 2 2023 Khavinson problem for hyperbolic harmonic mappings in Hardy space. Zbl 1527.31006 Chen, Jiaolong; Kalaj, David; Melentijević, Petar 2 2023 Hölder continuity of weak solutions to nonlocal Schrödinger equations with \(A_1\)-Muckenhoupt potentials. 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Zbl 1531.31017 Albeverio, Sergio; Kagawa, Toshinao; Kawasaki, Shuji; Yahagi, Yumi; Yoshida, Minoru W. 1 2023 Strengthened fractional Sobolev type inequalities in Besov spaces. Zbl 1541.46016 Li, Pengtao; Hu, Rui; Zhai, Zhichun 1 2023 Local continuity and Harnack’s inequality for double-phase parabolic equations. Zbl 1481.35047 Buryachenko, Kateryna O.; Skrypnik, Igor I. 13 2022 Coincidence of variable exponent Herz spaces with variable exponent Morrey type spaces and boundedness of sublinear operators in these spaces. Zbl 1494.46028 Rafeiro, Humberto; Samko, Stefan 10 2022 Quantitative estimates for square functions with new class of weights. Zbl 1509.42021 Bui, The Anh; Bui, The Quan; Duong, Xuan Thinh 8 2022 Generalized superharmonic functions with strongly nonlinear operator. Zbl 1498.35253 Chlebicka, Iwona; Zatorska-Goldstein, Anna 8 2022 Harmonic measure, equilibrium measure, and thinness at infinity in the theory of Riesz potentials. 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Zbl 1492.35130 Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D. 7 2022 ...and 1232 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,431 Authors 94 Yang, Dachun 71 Chen, Zhen-Qing 66 Kim, Panki 66 Song, Renming 58 Röckner, Michael 53 Sawano, Yoshihiro 52 Yuan, Wen 51 Guliyev, Vagif Sabir 51 Zhang, Tusheng S. 49 Dong, Hongjie 48 Nualart, David 48 Shimomura, Tetsu 48 Yan, Litan 45 Wang, Feng-Yu 42 Albeverio, Sergio A. 40 Lu, Guozhen 39 Baudoin, Fabrice 39 Strichartz, Robert Stephen 39 Warma, Mahamadi 38 Brzeźniak, Zdzisław 36 Bogdan, Krzysztof 36 Wang, Jian 33 Teplyaev, Alexander 32 Björn, Anders 32 Klimsiak, Tomasz 32 Mizuta, Yoshihiro 32 Saloff-Coste, Laurent 31 Byun, Sun-Sig 31 Jentzen, Arnulf 30 Björn, Jana 30 Kumagai, Takashi 30 Ohno, Takao 30 Shanmugalingam, Nageswari 30 Vondraček, Zoran 29 Beznea, Lucian 28 Zhang, Xicheng 27 Grzywny, Tomasz 27 Hausenblas, Erika 27 Kohr, Mirela 27 Ren, Yong 27 Wendland, Wolfgang L. 26 Jakubowski, Tomasz 26 Øksendal, Bernt Karsten 26 Tudor, Ciprian A. 25 Lam, Nguyen 25 Maz’ya, Vladimir Gilelevich 25 Schilling, René Leander 25 Zhai, Jianliang 24 Hinz, Michael 24 Ho, Kwok-Pun 24 Koskela, Pekka 24 Kuwae, Kazuhiro 24 Xie, Yingchao 24 Zorii, Natalia 23 Betancor Perez, Jorge Juan 23 Duan, Jinqiao 23 Kulczycki, Tadeusz 23 Tindel, Samy 22 Grothaus, Martin 22 Kim, Doyoon 22 Mâagli, Habib 22 Passarelli di Napoli, Antonia 22 van den Berg, Michiel 22 Veraar, Mark C. 22 Zheng, Shenzhou 21 Bass, Richard F. 21 Harjulehto, Petteri 21 Hu, Mingshang 21 Jørgensen, Palle E. T. 21 Kim, KyeongHun 21 Lahti, Panu 21 Liu, Wei 21 Proske, Frank Norbert 20 Choe, Boo Rim 20 Cianchi, Andrea 20 Garofalo, Nicola 20 Hansen, Wolfhard 20 Jumarie, Guy M. 20 Kaleta, Kamil 20 Kinnunen, Juha 20 Krylov, Nicolaĭ Vladimirovich 20 Li, Pengtao 20 Patie, Pierre 20 Ryznar, Michał 20 Saff, Edward Barry 20 Skrypnik, Igor Igorievich 20 Sturm, Karl-Theodor 20 ter Elst, Antonius Frederik Maria 20 Yuan, Chenggui 19 Bañuelos, Rodrigo 19 Górka, Przemysław 19 Güneysu, Batu 19 Gyöngy, István 19 Hong, Jialin 19 Kaßmann, Moritz 19 Keller, Matthias 19 Liu, Yu 19 Privault, Nicolas 19 Wang, Maofa 19 Wu, Huoxiong ...and 8,331 more Authors all top 5 Cited in 672 Journals 528 Potential Analysis 394 Journal of Mathematical Analysis and Applications 381 Journal of Functional Analysis 330 Stochastic Processes and their Applications 259 Journal of Differential Equations 250 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 181 Transactions of the American Mathematical Society 168 Calculus of Variations and Partial Differential Equations 162 The Journal of Geometric Analysis 142 Journal of Theoretical Probability 139 Mathematische Nachrichten 128 Proceedings of the American Mathematical Society 122 The Annals of Probability 105 Statistics & Probability Letters 98 Electronic Journal of Probability 97 Stochastic Analysis and Applications 97 Probability Theory and Related Fields 96 Advances in Mathematics 93 Mathematische Annalen 89 Mathematische Zeitschrift 89 Stochastics and Dynamics 84 Annali di Matematica Pura ed Applicata. Serie Quarta 82 Infinite Dimensional Analysis, Quantum Probability and Related Topics 81 Stochastic and Partial Differential Equations. Analysis and Computations 80 Mathematical Methods in the Applied Sciences 80 Stochastics 78 Journal of Evolution Equations 76 Complex Variables and Elliptic Equations 75 Bernoulli 75 Communications on Pure and Applied Analysis 73 Journal de Mathématiques Pures et Appliquées. Neuvième Série 70 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 65 The Journal of Fourier Analysis and Applications 65 Acta Mathematica Sinica. English Series 64 Journal of Mathematical Physics 62 Journal d’Analyse Mathématique 60 The Annals of Applied Probability 60 Discrete and Continuous Dynamical Systems 60 Science China. Mathematics 58 SIAM Journal on Mathematical Analysis 58 Comptes Rendus. Mathématique. Académie des Sciences, Paris 57 Analysis and Mathematical Physics 54 Mediterranean Journal of Mathematics 53 Journal of Statistical Physics 51 Revista Matemática Iberoamericana 51 Bulletin des Sciences Mathématiques 49 Communications in Mathematical Physics 48 Journal of Inequalities and Applications 46 Chaos, Solitons and Fractals 45 Journal of Mathematical Sciences (New York) 44 Communications in Partial Differential Equations 44 Positivity 44 Discrete and Continuous Dynamical Systems. Series B 44 Complex Analysis and Operator Theory 43 NoDEA. Nonlinear Differential Equations and Applications 42 Archive for Rational Mechanics and Analysis 42 Forum Mathematicum 42 Fractional Calculus & Applied Analysis 40 Frontiers of Mathematics in China 39 Applied Mathematics and Computation 39 Communications in Contemporary Mathematics 38 Applied Mathematics and Optimization 38 Journal of Computational and Applied Mathematics 37 Abstract and Applied Analysis 36 Advances in Calculus of Variations 35 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 35 Journal of Function Spaces 34 Applicable Analysis 34 Archiv der Mathematik 33 Studia Mathematica 33 Results in Mathematics 32 Integral Equations and Operator Theory 32 Zeitschrift für Analysis und ihre Anwendungen 32 Boundary Value Problems 31 Manuscripta Mathematica 31 Banach Journal of Mathematical Analysis 30 Computers & Mathematics with Applications 30 Tôhoku Mathematical Journal. Second Series 30 Acta Applicandae Mathematicae 30 Analysis & PDE 29 Journal of Approximation Theory 29 Annales Academiae Scientiarum Fennicae. Mathematica 28 Journal of the Mathematical Society of Japan 28 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 28 Constructive Approximation 28 Revista Matemática Complutense 28 Advanced Nonlinear Studies 28 Journal of Elliptic and Parabolic Equations 27 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 27 ALEA. Latin American Journal of Probability and Mathematical Statistics 27 Journal of Pseudo-Differential Operators and Applications 26 Annales de l’Institut Fourier 26 SIAM Journal on Control and Optimization 26 Acta Mathematica Scientia. Series B. (English Edition) 26 Discrete and Continuous Dynamical Systems. Series S 25 Rocky Mountain Journal of Mathematics 25 Monatshefte für Mathematik 25 Mathematical Inequalities & Applications 25 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 24 Nonlinearity ...and 572 more Journals all top 5 Cited in 59 Fields 4,308 Partial differential equations (35-XX) 4,285 Probability theory and stochastic processes (60-XX) 1,462 Operator theory (47-XX) 1,431 Functional analysis (46-XX) 1,186 Potential theory (31-XX) 1,124 Harmonic analysis on Euclidean spaces (42-XX) 680 Global analysis, analysis on manifolds (58-XX) 645 Real functions (26-XX) 543 Functions of a complex variable (30-XX) 521 Numerical analysis (65-XX) 501 Measure and integration (28-XX) 492 Differential geometry (53-XX) 443 Calculus of variations and optimal control; optimization (49-XX) 302 Ordinary differential equations (34-XX) 301 Statistical mechanics, structure of matter (82-XX) 300 Several complex variables and analytic spaces (32-XX) 293 Dynamical systems and ergodic theory (37-XX) 267 Quantum theory (81-XX) 251 Fluid mechanics (76-XX) 202 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 202 Systems theory; control (93-XX) 177 Combinatorics (05-XX) 173 Abstract harmonic analysis (43-XX) 149 Integral equations (45-XX) 134 Statistics (62-XX) 115 Topological groups, Lie groups (22-XX) 106 Special functions (33-XX) 105 Approximations and expansions (41-XX) 82 Difference and functional equations (39-XX) 77 Biology and other natural sciences (92-XX) 63 Mechanics of deformable solids (74-XX) 61 Convex and discrete geometry (52-XX) 53 Integral transforms, operational calculus (44-XX) 52 Number theory (11-XX) 45 Group theory and generalizations (20-XX) 42 Computer science (68-XX) 37 General topology (54-XX) 36 Information and communication theory, circuits (94-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 33 Mechanics of particles and systems (70-XX) 33 Operations research, mathematical programming (90-XX) 30 Optics, electromagnetic theory (78-XX) 29 Geometry (51-XX) 27 Classical thermodynamics, heat transfer (80-XX) 23 Manifolds and cell complexes (57-XX) 15 General and overarching topics; collections (00-XX) 15 Geophysics (86-XX) 13 Algebraic topology (55-XX) 13 Relativity and gravitational theory (83-XX) 12 Algebraic geometry (14-XX) 9 History and biography (01-XX) 8 Mathematical logic and foundations (03-XX) 8 Nonassociative rings and algebras (17-XX) 5 Field theory and polynomials (12-XX) 5 Sequences, series, summability (40-XX) 4 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year