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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: https://link.springer.com/journal/11118/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,579 Publications (since 1992)
References Indexed: 1,249 Publications with 30,969 References.
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Latest Issues

60, No. 3 (2024)
60, No. 2 (2024)
60, No. 1 (2024)
59, No. 4 (2023)
59, No. 3 (2023)
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37, No. 4 (2012)
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36, No. 4 (2012)
36, No. 3 (2012)
36, No. 2 (2012)
36, No. 1 (2012)
35, No. 4 (2011)
...and 140 more Volumes
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Authors

15 van den Berg, Michiel
14 Albeverio, Sergio A.
14 Wang, Feng-Yu
13 Boboc, Nicu
13 Hansen, Wolfhard
12 Gyöngy, István
12 Kim, Panki
12 Zhang, Tusheng S.
11 Beznea, Lucian
11 Röckner, Michael
11 Song, Renming
10 Nualart, David
9 Fuglede, Bent
9 Zorii, Natalia
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 Bogdan, Krzysztof
7 Choe, Boo Rim
7 Kim, KyeongHun
7 Netuka, Ivan
7 Tindel, Samy
7 Vondraček, Zoran
6 de la Pradelle, Arnaud
6 Gilkey, Peter B.
6 Gordina, Maria
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 Takeda, Masayoshi
6 The Anh Bui
6 Yang, Dachun
5 Betancor Perez, Jorge Juan
5 Björn, Anders
5 Björn, Jana
5 Chen, Zhen-Qing
5 El Kadiri, Mohamed
5 Grzywny, Tomasz
5 Hausenblas, Erika
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 Shanmugalingam, Nageswari
5 Singman, David
5 Song, Shiqi
5 Sturm, Karl-Theodor
5 Sun, Wei
5 Wang, Jing
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 Peres, Yuval
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
4 Wang, Jian
...and 1,733 more Authors
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Fields

661 Probability theory and stochastic processes (60-XX)
558 Partial differential equations (35-XX)
515 Potential theory (31-XX)
213 Operator theory (47-XX)
176 Functional analysis (46-XX)
158 Global analysis, analysis on manifolds (58-XX)
153 Harmonic analysis on Euclidean spaces (42-XX)
89 Differential geometry (53-XX)
76 Functions of a complex variable (30-XX)
75 Real functions (26-XX)
71 Measure and integration (28-XX)
49 Abstract harmonic analysis (43-XX)
47 Several complex variables and analytic spaces (32-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
32 Combinatorics (05-XX)
31 Topological groups, Lie groups (22-XX)
29 Ordinary differential equations (34-XX)
25 Statistical mechanics, structure of matter (82-XX)
22 Dynamical systems and ergodic theory (37-XX)
22 Quantum theory (81-XX)
21 Numerical analysis (65-XX)
19 Fluid mechanics (76-XX)
18 Integral equations (45-XX)
12 Difference and functional equations (39-XX)
12 Approximations and expansions (41-XX)
10 Special functions (33-XX)
8 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 Mechanics of deformable solids (74-XX)
4 Optics, electromagnetic theory (78-XX)
3 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Statistics (62-XX)
3 Biology and other natural sciences (92-XX)
3 Systems theory; control (93-XX)
2 Mathematical logic and foundations (03-XX)
2 Sequences, series, summability (40-XX)
2 Manifolds and cell complexes (57-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Publications by Year

Citations contained in zbMATH Open

1,271 Publications have been cited 13,059 times in 9,943 Documents Cited by Year
Stochastic analysis of the fractional Brownian motion. Zbl 0924.60034
Decreusefond, Laurent; Üstünel, Ali Süleyman
351
1999
Sobolev spaces on an arbitrary metric space. Zbl 0859.46022
Hajłasz, Piotr
293
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
263
2011
On a spectral analysis for the Sierpiński gasket. Zbl 1081.31501
Fukushima, M.; Shima, T.
151
1992
Harnack inequalities for jump processes. Zbl 0997.60089
Bass, Richard F.; Levin, David A.
124
2002
Perturbation of Dirichlet forms by measures. Zbl 0861.31004
Stollmann, Peter; Voigt, Jürgen
123
1996
Estimates of Green function for relativistic \(\alpha\)-stable process. Zbl 1004.60047
Ryznar, Michał
95
2002
Orlicz-Morrey spaces and fractional operators. Zbl 1242.42017
Sawano, Yoshihiro; Sugano, Satoko; Tanaka, Hitoshi
94
2012
Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. II. Zbl 0944.60074
Gyöngy, István
91
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
86
2006
Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057
Röckner, Michael; Zhang, Tusheng
86
2007
A note on Euler’s approximations. Zbl 0946.60059
Gyöngy, István
82
1998
Stochastic partial differential equations in \(M\)-type 2 Banach spaces. Zbl 0831.35161
Brzeźniak, Zdzisław
82
1995
The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets. Zbl 1307.31022
Warma, Mahamadi
80
2015
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.
79
2014
Parabolic capacity and soft measures for nonlinear equations. Zbl 1017.35040
Droniou, Jérôme; Porretta, Alessio; Prignet, Alain
77
2003
Approximation for semilinear stochastic evolution equations. Zbl 1015.60053
Hausenblas, Erika
70
2003
Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs. Zbl 1036.35045
Palagachev, Dian K.; Softova, Lubomira G.
65
2004
Young integrals and SPDEs. Zbl 1103.60062
Gubinelli, Massimiliano; Lejay, Antoine; Tindel, Samy
63
2006
Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. I. Zbl 0915.60069
Gyöngy, István
62
1998
Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
Kilpeläinen, Tero; Kinnunen, Juha; Martio, Olli
61
2000
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.
59
2009
Parabolic Harnack inequality for divergence form second order differential operators. Zbl 0840.31006
Saloff-Coste, L.
58
1995
Parabolic equations with measurable coefficients. Zbl 1124.35024
Kim, Doyoon; Krylov, N. V.
58
2007
The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004
Arendt, Wolfgang; Warma, Mahamadi
57
2003
Finite element methods for parabolic stochastic PDE’s. Zbl 1065.60082
Walsh, J. B.
57
2005
Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile. Zbl 1165.82309
Levine, Lionel; Peres, Yuval
57
2009
On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes. Zbl 1302.60109
Grzywny, Tomasz
56
2014
Boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1223.42008
Burenkov, Victor I.; Gogatishvili, Amiran; Guliyev, Vagif S.; Mustafayev, Rza Ch.
53
2011
Convolution-type derivatives, hitting-times of subordinators and time-changed \(C_0\)-semigroups. Zbl 1315.60050
Toaldo, Bruno
53
2015
On fractional Brownian processes. Zbl 0944.60045
Feyel, Denis; de La Pradelle, Arnaud
52
1999
Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains. Zbl 1121.35060
Aikawa, Hiroaki; Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
51
2007
Fractional Brownian sheet. (Drap brownien fractionnaire.) Zbl 1006.60029
Ayache, Antoine; Leger, Stéphanie; Pontier, Monique
49
2002
Stochastic Navier-Stokes equations driven by Lévy noise in unbounded 3D domains. Zbl 1282.35282
Motyl, Elżbieta
49
2013
On discretization schemes for stochastic evolution equations. Zbl 1067.60049
Gyöngy, István; Millet, Annie
47
2005
Nonlinear elliptic equations with measure data. Zbl 0815.35023
Del Vecchio, T.
47
1995
Chernoff’s theorem and discrete time approximations of Brownian motion on manifolds. Zbl 1107.58014
Smolyanov, Oleg G.; von Weizsäcker, Heinrich; Wittich, Olaf
47
2007
The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046
Bertoin, Jean; Yor, Marc
45
2002
Multipliers and Morrey spaces. Zbl 1267.42024
Lemarié-Rieusset, Pierre Gilles
45
2013
Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\). Zbl 1315.35048
Passarelli Di Napoli, Antonia
45
2014
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.
45
2014
Non-coercive linear elliptic problems. Zbl 1161.35362
Droniou, Jérôme
41
2002
Heat kernel bounds on metric measure spaces and some applications. Zbl 1339.53043
Jiang, Renjin; Li, Huaiqian; Zhang, Huichun
41
2016
A remark on the equivalence between Poisson and Gaussian stochastic partial differential equations. Zbl 0926.60048
Benth, Fred Espen; Gjerde, Jon
40
1998
Malliavin calculus for white noise driven parabolic SPDEs. Zbl 0928.60040
Bally, Vlad; Pardoux, Etienne
40
1998
Pathwise numerical approximations of SPDEs with additive noise under non-global Lipschitz coefficients. Zbl 1176.60051
Jentzen, Arnulf
40
2009
Continuity of solutions of a class of fractional equations. Zbl 1407.35205
Dang, Duc Trong; Nane, Erkan; Nguyen, Dang Minh; Tuan, Nguyen Huy
40
2018
Generalized Mehler semigroups: The non-Gaussian case. Zbl 0957.47028
Fuhrman, Marco; Röckner, Michael
40
2000
Fractional differentiability for solutions of nonlinear elliptic equations. Zbl 1362.35064
Baisón, A. L.; Clop, A.; Giova, R.; Orobitg, J.; Passarelli di Napoli, A.
40
2017
Invariant measures and symmetry property of Lévy type operators. Zbl 0978.60096
Albeverio, Sergio; Rüdiger, Barbara; Wu, Jiang-Lun
39
2000
Integration with respect to local time. Zbl 0964.60062
Eisenbaum, Nathalie
39
2000
White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. Zbl 1196.60121
Zhang, Tusheng
39
2010
On nonlinear Rayleigh quotients. Zbl 0795.35039
Lindqvist, Peter
38
1993
Green function estimates and Harnack inequality for subordinate Brownian motions. Zbl 1107.60042
Rao, Murali; Song, Renming; Vondraček, Zoran
38
2006
Adams’ inequality and limiting Sobolev embeddings into Zygmund spaces. Zbl 1279.46025
Tarsi, Cristina
38
2012
Parabolic equations and Markov processes over \(p\)-adic fields. Zbl 1134.35005
Zúñiga-Galindo, W. A.
38
2008
Harmonic calculus on fractals – a measure geometric approach. I. Zbl 1055.28002
Freiberg, U.; Zähle, M.
37
2002
Existence and smoothness of the density for spatially homogeneous SPDEs. Zbl 1133.60029
Nualart, David; Quer-Sardanyons, Lluís
37
2007
Rate of convergence of space time approximations for stochastic evolution equations. Zbl 1168.60025
Gyöngy, István; Millet, Annie
37
2009
On a dual pair of spaces of smooth and generalized random variables. Zbl 0839.46035
Potthoff, Jürgen; Timpel, Matthias
36
1995
Estimates of the Green function for the fractional Laplacian perturbed by gradient. Zbl 1238.35018
Bogdan, Krzysztof; Jakubowski, Tomasz
36
2012
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.
36
2013
Compact differences of composition operators on the Bergman spaces over the ball. Zbl 1281.47012
Choe, Boo Rim; Koo, Hyungwoon; Park, Inyoung
36
2014
Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup. Zbl 0954.42010
García-Cuerva, José; Mauceri, Giancarlo; Sjögren, Peter; Torrea, José-Luis
35
1999
Group cohomology, harmonic functions and the first \(L^ 2\)-Betti number. Zbl 0882.22013
Bekka, Mohammed E. B.; Valette, Alain
35
1997
Invariance of closed convex sets and domination criteria for semigroups. Zbl 0868.47029
Ouhabaz, El-Maati
35
1996
Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients. Zbl 1271.42020
Guliyev, Vagif S.; Softova, Lubomira G.
35
2013
On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact Riemannian manifold. Zbl 1304.58019
Brzeźniak, Z.; Millet, A.
35
2014
Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients. Zbl 1023.35041
Liskevich, Vitali; Sobol, Zeev
34
2003
On the small time asymptotics of diffusion processes on path groups. Zbl 0993.60026
Aida, Shigeki; Zhang, Tusheng
34
2002
Moser-type inequalities in Lorentz spaces. Zbl 0856.46020
Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido
34
1996
Linear combinations of composition operators on the Fock-Sobolev spaces. Zbl 1300.47031
Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon
34
2014
Hölder regularity for solutions of ultraparabolic equations in divergence form. Zbl 0980.35081
Polidoro, Sergio; Ragusa, Maria Alessandra
33
2001
Stochastic reaction-diffusion equations driven by jump processes. Zbl 1398.60077
Brzeźniak, Zdzisław; Hausenblas, Erika; Razafimandimby, Paul André
33
2018
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
33
2012
Regularity of Ornstein-Uhlenbeck processes driven by a Lévy white noise. Zbl 1187.60048
Brzeźniak, Zdzisław; Zabczyk, Jerzy
32
2010
Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Zbl 1306.60095
Wang, Ran; Zhang, Tusheng
32
2015
Weighted \(L^p\)-estimates for elliptic equations with measurable coefficients in nonsmooth domains. Zbl 1293.35351
Byun, Sun-Sig; Palagachev, Dian K.
32
2014
Approximation of the invariant measure with an Euler scheme for stochastic PDEs driven by space-time white noise. Zbl 1286.35010
Bréhier, Charles-Edouard
32
2014
On the quasi-regularity of semi-Dirichlet forms. Zbl 0993.60075
Fitzsimmons, P. J.
31
2001
Compactness of commutators of Riesz potential on Morrey spaces. Zbl 1163.42004
Chen, Yanping; Ding, Yong; Wang, Xinxia
31
2009
Estimates for the torsion function and Sobolev constants. Zbl 1246.60108
van den Berg, Michiel
30
2012
Diffusion equations and geometric inequalities. Zbl 0976.60065
Borell, Christer
30
2000
Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators. Zbl 1172.47018
Yang, Dachun; Yang, Dongyong; Zhou, Yuan
30
2009
Sobolev inequalities on homogeneous spaces. Zbl 0833.46020
Biroli, Marco; Mosco, Umberto
29
1995
Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise. Zbl 0893.60033
Gyöngy, István; Nualart, David
28
1997
Smoothness of Brownian local times and related functionals. Zbl 0776.60092
Nualart, D.; Vives, J.
28
1992
Fractional-parabolic systems. Zbl 1259.35218
Kochubei, Anatoly N.
28
2012
Fock-Sobolev spaces of fractional order. Zbl 1327.32009
Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon
28
2015
Hölder continuous solutions to complex Hessian equations. Zbl 1302.32034
Nguyen, Ngoc Cuong
28
2014
Hölder continuity of solutions to quasilinear elliptic equations involving measures. Zbl 0813.35016
Kilpeläinen, Tero
27
1994
Symmetric stable processes in cones. Zbl 1054.31002
Bañuelos, Rodrigo; Bogdan, Krzysztof
27
2004
Riesz spherical potentials with external fields and minimal energy points separation. Zbl 1115.31003
Dragnev, P. D.; Saff, E. B.
27
2007
Erratum to: “Multipliers and Morrey spaces”. Zbl 1302.42031
Lemarié-Rieusset, Pierre Gilles
27
2014
The Brunn-Minkowski inequality for the \(n\)-dimensional logarithmic capacity of convex bodies. Zbl 1074.31007
Colesanti, Andrea; Cuoghi, Paola
26
2005
Hausdorff measures on the Wiener space. Zbl 1081.28500
Feyel, D.; de La Pradelle, A.
26
1992
Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. Zbl 1052.47033
Lescot, Paul; Röckner, Michael
26
2004
Hardy inequalities and non-explosion results for semigroups. Zbl 1335.31007
Bogdan, Krzysztof; Dyda, Bartłomiej; Kim, Panki
26
2016
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.
25
2005
Harnack’s inequality for stable Lévy processes. Zbl 1081.60055
Bogdan, Krzysztof; Sztonyk, Paweł
25
2005
Time regularity for local weak solutions of the heat equation on local Dirichlet spaces. Zbl 07798446
Hou, Qi; Saloff-Coste, Laurent
2
2024
Characterization of Lipschitz space via the commutators of fractional maximal functions on variable Lebesgue spaces. Zbl 07807785
Yang, Xuechun; Yang, Zhenzhen; Li, Baode
1
2024
Stochastically complete, parabolic and \(L^1\)-Liouville spacelike submanifolds with parallel mean curvature vector. Zbl 07798444
Barboza, Weiller F. C.; de Lima, Henrique F.; Velásquez, Marco Antonio L.
1
2024
Extrapolation for weighted product Morrey spaces and some applications. Zbl 07798458
Wei, Mingquan
1
2024
Compactness characterizations of commutators on ball Banach function spaces. Zbl 07673632
Tao, Jin; Yang, Dachun; Yuan, Wen; Zhang, Yangyang
24
2023
The random normal matrix model: insertion of a point charge. Zbl 1508.82046
Ameur, Yacin; Kang, Nam-Gyu; Seo, Seong-Mi
18
2023
Large and moderate deviation principles for McKean-Vlasov SDEs with jumps. Zbl 1523.60056
Liu, Wei; Song, Yulin; Zhai, Jianliang; Zhang, Tusheng
5
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
On potentials of Itô’s processes with drift in \(L_{d+1}\). Zbl 07692091
Krylov, N. V.
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
Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces. Zbl 1507.35351
Bignamini, D. A.; Ferrari, S.
4
2023
The \(L^{\infty }\)-positivity preserving property and stochastic completeness. Zbl 07785434
Bisterzo, Andrea; Marini, Ludovico
3
2023
Analysis on trees with nondoubling flow measures. Zbl 1511.05039
Levi, Matteo; Santagati, Federico; Tabacco, Anita; Vallarino, Maria
3
2023
Normal trace for a vector field of bounded mean oscillation. Zbl 07692096
Giga, Yoshikazu; Gu, Zhongyang
3
2023
Quantitative heat-kernel estimates for diffusions with distributional drift. Zbl 1517.60066
Perkowski, Nicolas; van Zuijlen, Willem
3
2023
Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions. Zbl 1525.35092
Chiacchio, Francesco; Gavitone, Nunzia; Nitsch, Carlo; Trombetti, Cristina
3
2023
Weighted Hardy-Sobolev, log-Sobolev and Moser-Onofri-Beckner inequalities with monomial weights. Zbl 1507.26029
Wang, Jianxiong
3
2023
Ergodic decomposition of Dirichlet forms via direct integrals and applications. Zbl 1512.37010
Dello Schiavo, Lorenzo
3
2023
Scattering theory for a class of radial focusing inhomogeneous Hartree equations. Zbl 1512.35549
Saanouni, Tarek; Xu, Chengbin
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 07673634
Flint, Ian; Torrisi, Giovanni Luca
2
2023
Hardy factorization in terms of multilinear Calderón-Zygmund operators using Morrey spaces. Zbl 1515.42016
Dao, Nguyen Anh; Wick, Brett D.
2
2023
Universal infinitesimal Hilbertianity of sub-Riemannian manifolds. Zbl 1527.53024
Le Donne, Enrico; Lučić, Danka; Pasqualetto, Enrico
2
2023
Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise. Zbl 1521.35214
Baňas, Ľubomír; Yang, Huanyu; Zhu, Rongchan
2
2023
Hydrodynamics of the generalized \(N\)-urn Ehrenfest model. Zbl 07727165
Xue, Xiaofeng
2
2023
On diffusion processes with drift in \(L_{d+1}\). Zbl 07749900
Krylov, N. V.
2
2023
Hölder continuity of weak solutions to nonlocal Schrödinger equations with \(A_1\)-Muckenhoupt potentials. Zbl 07749910
Kim, Yong-Cheol
2
2023
On the theory of capacities on locally compact spaces and its interaction with the theory of balayage. Zbl 1527.31015
Zorii, Natalia
2
2023
Diameter and Laplace eigenvalue estimates for left-invariant metrics on compact Lie groups. Zbl 1507.58005
Lauret, Emilio A.
2
2023
Uniform large deviations for a class of Burgers-type stochastic partial differential equations in any space dimension. Zbl 1506.60042
Salins, Michael; Setayeshgar, Leila
2
2023
Uniform estimates for concave homogeneous complex degenerate elliptic equations comparable to the Monge-Ampère equation. Zbl 07785416
Abja, Soufian; Dinew, Sławomir; Olive, Guillaume
1
2023
On the theory of balayage on locally compact spaces. Zbl 07785424
Zorii, Natalia
1
2023
The weighted \(H^p\) estimates for commutators of fractional integrals. Zbl 07785427
Han, Yanyan; Wu, Huoxiong
1
2023
Convergence of \(p\)-energy gorms on homogeneous p.c.f self-similar sets. Zbl 07785428
Gao, Jin; Yu, Zhenyu; Zhang, Junda
1
2023
Besov reconstruction. Zbl 07785429
Broux, Lucas; Lee, David
1
2023
Non-local Markovian symmetric forms on infinite dimensional spaces. II: Applications: non local stochastic quantization of space cut-off quantum fields and infinite particle systems. Zbl 07785431
Albeverio, Sergio; Kagawa, Toshinao; Kawasaki, Shuji; Yahagi, Yumi; Yoshida, Minoru W.
1
2023
A trace inequality for solenoidal charges. Zbl 07785437
Raiţă, Bogdan; Spector, Daniel; Stolyarov, Dmitriy
1
2023
Strengthened fractional Sobolev type inequalities in Besov spaces. Zbl 07785438
Li, Pengtao; Hu, Rui; Zhai, Zhichun
1
2023
Wolff potential estimates for supersolutions of equations with generalized Orlicz growth. Zbl 1516.35210
Benyaiche, Allami; Khlifi, Ismail
1
2023
Long-time behaviour of entropic interpolations. Zbl 1521.49032
Clerc, Gauthier; Conforti, Giovanni; Gentil, Ivan
1
2023
Nonlinear inequalities with double Riesz potentials. Zbl 1516.45005
Ghergu, Marius; Liu, Zeng; Miyamoto, Yasuhito; Moroz, Vitaly
1
2023
Heat kernels for a class of hybrid evolution equations. Zbl 1521.35099
Garofalo, Nicola; Tralli, Giulio
1
2023
Uniqueness for an obstacle problem arising from logistic-type equations with fractional Laplacian. Zbl 1523.35305
Klimsiak, Tomasz
1
2023
Wasserstein convergence for empirical measures of subordinated diffusions on Riemannian manifolds. Zbl 1523.58036
Wang, Feng-Yu; Wu, Bingyao
1
2023
Heat flow and concentration of measure on directed graphs with a lower Ricci curvature bound. Zbl 1522.05166
Ozawa, Ryunosuke; Sakurai, Yohei; Yamada, Taiki
1
2023
Khavinson problem for hyperbolic harmonic mappings in Hardy space. Zbl 1527.31006
Chen, Jiaolong; Kalaj, David; Melentijević, Petar
1
2023
Compactness of semigroups generated by symmetric non-local Dirichlet forms with unbounded coefficients. Zbl 1507.60100
Shiozawa, Yuichi; Wang, Jian
1
2023
The regularity problem for uniformly elliptic operators in weighted spaces. Zbl 1512.35231
Chen, Li; Martell, José María; Prisuelos-Arribas, Cruz
1
2023
Log-Hessian and deviation bounds for Markov semi-groups, and regularization effect in \(\mathbb{L}^1 \). Zbl 1506.60028
Gozlan, N.; Li, Xue-Mei; Madiman, M.; Roberto, C.; Samson, P.-M.
1
2023
Energy spaces, Dirichlet forms and capacities in a nonlinear setting. Zbl 1509.31023
Claus, Burkhard
1
2023
Local continuity and Harnack’s inequality for double-phase parabolic equations. Zbl 1481.35047
Buryachenko, Kateryna O.; Skrypnik, Igor I.
10
2022
Harmonic measure, equilibrium measure, and thinness at infinity in the theory of Riesz potentials. Zbl 1503.31017
Zorii, Natalia
7
2022
Quantitative estimates for square functions with new class of weights. Zbl 1509.42021
Bui, The Anh; Bui, The Quan; Duong, Xuan Thinh
7
2022
Trace and density results on regular trees. Zbl 1498.46049
Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang
6
2022
Generalized superharmonic functions with strongly nonlinear operator. Zbl 1498.35253
Chlebicka, Iwona; Zatorska-Goldstein, Anna
6
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
6
2022
Anisotropic singular Neumann equations with unbalanced growth. Zbl 1492.35130
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
5
2022
Comparison principle for elliptic equations with mixed singular nonlinearities. Zbl 1491.35161
Durastanti, Riccardo; Oliva, Francescantonio
4
2022
From \(A_1\) to \(A_{\infty}\): new mixed inequalities for certain maximal operators. Zbl 1489.42010
Berra, Fabio
3
2022
On \(L^p\)-boundedness of Fourier integral operators. Zbl 1491.42026
Yang, Jie; Wang, Guangqing; Chen, Wenyi
3
2022
The Berezin transform of Toeplitz operators on the weighted Bergman space. Zbl 07547836
Tong, Cezhong; Li, Junfeng; Arroussi, Hicham
3
2022
Higher order terms of the spectral heat content for killed subordinate and subordinate killed Brownian motions related to symmetric \(\alpha\)-stable processes in \(\mathbb{R}\). Zbl 1495.60038
Park, Hyunchul
3
2022
Li-Yau multipLier set and optimal Li-Yau gradient estimate on hyperboLic spaces. Zbl 1483.35059
Yu, Chengjie; Zhao, Feifei
3
2022
Harnack inequalities for functional SDEs driven by subordinate Brownian motions. Zbl 1490.60151
Deng, Chang-Song; Huang, Xing
3
2022
On a characterization theorem for locally compact abelian groups containing an element of order 2. Zbl 1482.60006
Feldman, G. M.
3
2022
Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition. Zbl 1483.35051
Chen, Hang
3
2022
Scattering for radial defocusing inhomogeneous bi-harmonic Schrödinger equations. Zbl 1490.35449
Saanouni, Tarek
3
2022
On the failure of multilinear multiplier theorem with endpoint smoothness conditions. Zbl 1482.42016
Park, Bae Jun
3
2022
Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations. Zbl 1498.46046
Muratori, Matteo; Roncoroni, Alberto
2
2022
Stationary solutions of Fokker-Planck equations with nonlinear reaction terms in bounded domains. Zbl 1492.35118
Precup, Radu; Rubbioni, Paola
2
2022
Boundedness of operators related to a degenerate Schrödinger semigroup. Zbl 1497.42030
Harboure, E.; Salinas, O.; Viviani, B.
2
2022
Discrete harmonic functions in the three-quarter plane. Zbl 1483.31036
Trotignon, Amélie
2
2022
Interior Schauder estimates for elliptic equations associated with Lévy operators. Zbl 1498.60173
Kühn, Franziska
2
2022
Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics. Zbl 1485.31001
Hardin, Douglas P.; Petrache, Mircea; Saff, Edward B.
2
2022
Discrete harmonic analysis associated with Jacobi expansions. II: the Riesz transform. Zbl 1504.42083
Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar
2
2022
Elliptic and parabolic boundary value problems in weighted function spaces. Zbl 1502.35059
Hummel, Felix; Lindemulder, Nick
2
2022
Parabolic Harnack inequality implies the existence of jump kernel. Zbl 1489.60130
Liu, Guanhua; Murugan, Mathav
1
2022
Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces. Zbl 1500.60032
Ling, Chengcheng; Xie, Longjie
1
2022
Absolute continuity of solutions to reaction-diffusion equations with multiplicative noise. Zbl 1489.60098
Marinelli, Carlo; Quer-Sardanyons, Lluís
1
2022
\(C^{1, \alpha}\) regularity for degenerate fully nonlinear elliptic equations with Neumann boundary conditions. Zbl 1498.35252
Banerjee, Agnid; Verma, Ram Baran
1
2022
Quasiconformal harmonic mappings between the unit ball and a spatial domain with \(C^{1, \alpha}\) boundary. Zbl 1502.30072
Gjokaj, Anton; Kalaj, David
1
2022
A refined Green’s function estimate of the time measurable parabolic operators with conic domains. Zbl 1483.35103
Kim, Kyeong-Hun; Lee, Kijung; Seo, Jinsol
1
2022
Asymptotics of smoothed Wasserstein distances. Zbl 1485.58026
Chen, Hong-Bin; Niles-Weed, Jonathan
1
2022
Phase transition of logarithmic capacity for the uniform \(G_\delta\)-sets. Zbl 1486.31007
Kleptsyn, Victor; Quintino, Fernando
1
2022
Desingularization of a steady vortex pair in the lake equation. Zbl 1513.76054
Dekeyser, Justin
1
2022
On efficiency and localisation for the torsion function. Zbl 1505.35110
van den Berg, M.; Bucur, D.; Kappeler, T.
1
2022
Quasi-continuous vector fields on RCD spaces. Zbl 1457.53032
Debin, Clément; Gigli, Nicola; Pasqualetto, Enrico
12
2021
Riesz potential and maximal function for Dunkl transform. Zbl 1480.42028
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
10
2021
Remarks on the nonlocal Dirichlet problem. Zbl 1456.35059
Grzywny, Tomasz; Kassmann, Moritz; Leżaj, Łukasz
8
2021
Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions. Zbl 1480.60227
Kawamoto, Yosuke; Osada, Hirofumi; Tanemura, Hideki
8
2021
Strong Feller property for SDEs driven by multiplicative cylindrical stable noise. Zbl 1484.60062
Kulczycki, Tadeusz; Ryznar, Michał; Sztonyk, Paweł
8
2021
Gradient Estimates in fractional Dirichlet Problems. Zbl 1460.35056
Fall, Mouhamed Moustapha; Jarohs, Sven
7
2021
Weighted estimates for bilinear Bochner-Riesz means at the critical index. Zbl 1486.42032
Jotsaroop, K.; Shrivastava, Saurabh; Shuin, Kalachand
7
2021
Radial two weight inequality for maximal Bergman projection induced by a regular weight. Zbl 1462.30108
Korhonen, Taneli; Peláez, José Ángel; Rättyä, Jouni
6
2021
Sharp Riesz-Fejér inequality for harmonic Hardy spaces. Zbl 1460.31005
Melentijević, Petar; Božin, Vladimir
5
2021
Smooth orthogonal projections on Riemannian manifold. Zbl 1457.46036
Bownik, Marcin; Dziedziul, Karol; Kamont, Anna
4
2021
Boundedness of singular integral operators on local Hardy spaces and dual spaces. Zbl 1479.42061
Ding, Wei; Han, YongSheng; Zhu, YuePing
4
2021
Weak limits of the measures of maximal entropy for orthogonal polynomials. Zbl 1460.42042
Petersen, Carsten Lunde; Uhre, Eva
3
2021
Complex interpolation and the Adams theorem. Zbl 1477.42025
Sawano, Yoshihiro; Sugano, Satoko
3
2021
Limiting weak-type behaviors for certain classical operators in harmonic analysis. Zbl 1508.42014
Guo, Weichao; He, Jianxun; Wu, Huoxiong
3
2021
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Cited by 7,864 Authors

80 Yang, Dachun
69 Chen, Zhen-Qing
65 Kim, Panki
64 Song, Renming
52 Sawano, Yoshihiro
51 Guliyev, Vagif Sabir
51 Röckner, Michael
49 Zhang, Tusheng S.
48 Nualart, David
46 Dong, Hongjie
46 Yan, Litan
44 Shimomura, Tetsu
44 Wang, Feng-Yu
44 Yuan, Wen
43 Albeverio, Sergio A.
39 Strichartz, Robert S.
38 Brzeźniak, Zdzisław
37 Baudoin, Fabrice
37 Lu, Guozhen
37 Warma, Mahamadi
34 Bogdan, Krzysztof
33 Wang, Jian
32 Saloff-Coste, Laurent
32 Teplyaev, Alexander
31 Klimsiak, Tomasz
30 Björn, Anders
30 Byun, Sun-Sig
30 Mizuta, Yoshihiro
30 Shanmugalingam, Nageswari
29 Jentzen, Arnulf
29 Vondraček, Zoran
28 Björn, Jana
28 Kumagai, Takashi
27 Ohno, Takao
27 Zhang, Xicheng
26 Beznea, Lucian
26 Grzywny, Tomasz
26 Øksendal, Bernt Karsten
26 Ren, Yong
26 Takeda, Masayoshi
26 Tudor, Ciprian A.
25 Hausenblas, Erika
25 Jakubowski, Tomasz
25 Maz’ya, Vladimir Gilelevich
25 Schilling, René Leander
25 Zhai, Jianliang
24 Kohr, Mirela
24 Koskela, Pekka
24 Lam, Nguyen
24 Wendland, Wolfgang L.
23 Hinz, Michael
23 Tindel, Samy
23 Xie, Yingchao
23 Zorii, Natalia
22 Betancor Perez, Jorge Juan
22 Grothaus, Martin
22 Kuwae, Kazuhiro
22 Mâagli, Habib
22 Saff, Edward Barry
22 Zheng, Shenzhou
21 Bass, Richard F.
21 Harjulehto, Petteri
21 Veraar, Mark C.
20 Choe, Boo Rim
20 Duan, Jinqiao
20 Hansen, Wolfhard
20 Hu, Mingshang
20 Jørgensen, Palle E. T.
20 Jumarie, Guy M.
20 Kim, Doyoon
20 Kim, KyeongHun
20 Kinnunen, Juha
20 Krylov, Nicolaĭ Vladimirovich
20 Kulczycki, Tadeusz
20 Passarelli di Napoli, Antonia
20 Patie, Pierre
20 Proske, Frank Norbert
20 van den Berg, Michiel
20 Yuan, Chenggui
19 Bañuelos, Rodrigo
19 Cianchi, Andrea
19 Ho, Kwok-Pun
19 Kaleta, Kamil
19 Lahti, Panu
19 Liu, Wei
19 ter Elst, Antonius Frederik Maria
19 Wu, Huoxiong
18 Górka, Przemysław
18 Grigor’yan, Alexander Asaturovich
18 Güneysu, Batu
18 Gyöngy, István
18 Li, Pengtao
18 Nane, Erkan
18 Peng, Shige
18 Priola, Enrico
18 Privault, Nicolas
18 Russo, Francesco
18 Ryznar, Michał
18 Skrypnik, Igor Igorievich
18 Smolyanov, Oleg Georgievich
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Cited in 646 Journals

513 Potential Analysis
372 Journal of Mathematical Analysis and Applications
367 Journal of Functional Analysis
312 Stochastic Processes and their Applications
243 Journal of Differential Equations
243 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
172 Transactions of the American Mathematical Society
158 Calculus of Variations and Partial Differential Equations
136 The Journal of Geometric Analysis
128 Journal of Theoretical Probability
120 The Annals of Probability
117 Proceedings of the American Mathematical Society
100 Statistics & Probability Letters
94 Stochastic Analysis and Applications
93 Probability Theory and Related Fields
91 Mathematische Nachrichten
90 Electronic Journal of Probability
88 Advances in Mathematics
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82 Annali di Matematica Pura ed Applicata. Serie Quarta
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81 Mathematische Annalen
81 Infinite Dimensional Analysis, Quantum Probability and Related Topics
77 Stochastics
75 Journal of Evolution Equations
73 Complex Variables and Elliptic Equations
71 Journal de Mathématiques Pures et Appliquées. Neuvième Série
71 Communications on Pure and Applied Analysis
69 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
69 Bernoulli
65 Acta Mathematica Sinica. English Series
64 Stochastic and Partial Differential Equations. Analysis and Computations
62 The Journal of Fourier Analysis and Applications
57 Journal d’Analyse Mathématique
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55 Science China. Mathematics
54 The Annals of Applied Probability
54 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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51 SIAM Journal on Mathematical Analysis
50 Analysis and Mathematical Physics
49 Communications in Mathematical Physics
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49 Revista Matemática Iberoamericana
47 Bulletin des Sciences Mathématiques
47 Journal of Inequalities and Applications
46 Chaos, Solitons and Fractals
43 Positivity
42 Mathematical Methods in the Applied Sciences
41 Communications in Partial Differential Equations
41 Journal of Mathematical Sciences (New York)
41 NoDEA. Nonlinear Differential Equations and Applications
41 Discrete and Continuous Dynamical Systems. Series B
40 Fractional Calculus & Applied Analysis
40 Frontiers of Mathematics in China
39 Archive for Rational Mechanics and Analysis
39 Complex Analysis and Operator Theory
38 Applied Mathematics and Computation
38 Forum Mathematicum
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36 Applied Mathematics and Optimization
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33 Archiv der Mathematik
33 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
32 Applicable Analysis
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31 Studia Mathematica
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30 Manuscripta Mathematica
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30 Banach Journal of Mathematical Analysis
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29 Zeitschrift für Analysis und ihre Anwendungen
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29 Annales Academiae Scientiarum Fennicae. Mathematica
27 Journal of Approximation Theory
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27 Constructive Approximation
27 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
26 Journal of the Mathematical Society of Japan
26 Revista Matemática Complutense
25 Rocky Mountain Journal of Mathematics
25 ALEA. Latin American Journal of Probability and Mathematical Statistics
25 Journal of Elliptic and Parabolic Equations
24 Annales de l’Institut Fourier
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24 SIAM Journal on Control and Optimization
24 Acta Mathematica Scientia. Series B. (English Edition)
24 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
23 ZAMP. Zeitschrift für angewandte Mathematik und Physik
23 Collectanea Mathematica
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22 Nonlinearity
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449 Differential geometry (53-XX)
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