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Potential Analysis

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

Short Title: Potential Anal.
Publisher: Springer Netherlands, Dordrecht
ISSN: 0926-2601; 1572-929X/e
Online: http://link.springer.com/journal/volumesAndIssues/11118
Comments: Indexed cover-to-cover
Documents Indexed: 1,432 Publications (since 1992)
References Indexed: 1,103 Publications with 26,547 References.
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Latest Issues

58, No. 1 (2023)
57, No. 4 (2022)
57, No. 3 (2022)
57, No. 2 (2022)
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33, No. 4 (2010)
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...and 130 more Volumes
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Authors

15 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
7 Zorii, Natalia
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
5 Chen, Zhen-Qing
5 El Kadiri, Mohamed
5 Gordina, Maria
5 Grzywny, Tomasz
5 Hausenblas, Erika
5 Koskela, Pekka
5 Luo, Dejun
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 The Anh Bui
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 Harboure, Eleonor O.
4 Hirsch, Francis
4 Jakubowski, Tomasz
4 Kalaj, David
4 Kilpeläinen, Tero
4 Klimsiak, Tomasz
4 Kondrat’yev, Yuriĭ Grygorovych
4 Lu, Guozhen
4 Mikulevicius, Remigijus
4 Nane, Erkan
4 Polidoro, Sergio
4 Quer-Sardanyons, Lluís
4 Rovira, Carles
4 Skrypnik, Igor Igorievich
4 Tanaka, Hitoshi
4 ter Elst, Antonius Frederik Maria
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
...and 1,519 more Authors
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Fields

613 Probability theory and stochastic processes (60-XX)
503 Partial differential equations (35-XX)
488 Potential theory (31-XX)
199 Operator theory (47-XX)
152 Functional analysis (46-XX)
149 Global analysis, analysis on manifolds (58-XX)
128 Harmonic analysis on Euclidean spaces (42-XX)
78 Differential geometry (53-XX)
65 Functions of a complex variable (30-XX)
63 Measure and integration (28-XX)
59 Real functions (26-XX)
47 Several complex variables and analytic spaces (32-XX)
45 Abstract harmonic analysis (43-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
29 Combinatorics (05-XX)
27 Topological groups, Lie groups (22-XX)
27 Ordinary differential equations (34-XX)
23 Statistical mechanics, structure of matter (82-XX)
21 Quantum theory (81-XX)
20 Numerical analysis (65-XX)
19 Dynamical systems and ergodic theory (37-XX)
16 Fluid mechanics (76-XX)
14 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)

Publications by Year

Citations contained in zbMATH Open

1,169 Publications have been cited 10,844 times in 8,273 Documents Cited by Year
Stochastic analysis of the fractional Brownian motion. Zbl 0924.60034
Decreusefond, Laurent; Üstünel, Ali Süleyman
312
1999
Sobolev spaces on an arbitrary metric space. Zbl 0859.46022
Hajłasz, Piotr
239
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
223
2011
On a spectral analysis for the Sierpiński gasket. Zbl 1081.31501
Fukushima, M.; Shima, T.
139
1992
Harnack inequalities for jump processes. Zbl 0997.60089
Bass, Richard F.; Levin, David A.
114
2002
Perturbation of Dirichlet forms by measures. Zbl 0861.31004
Stollmann, Peter; Voigt, Jürgen
109
1996
Estimates of Green function for relativistic \(\alpha\)-stable process. Zbl 1004.60047
Ryznar, Michał
85
2002
Orlicz-Morrey spaces and fractional operators. Zbl 1242.42017
Sawano, Yoshihiro; Sugano, Satoko; Tanaka, Hitoshi
81
2012
Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. II. Zbl 0944.60074
Gyöngy, István
79
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
77
2006
Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057
Röckner, Michael; Zhang, Tusheng
74
2007
A note on Euler’s approximations. Zbl 0946.60059
Gyöngy, István
72
1998
Parabolic capacity and soft measures for nonlinear equations. Zbl 1017.35040
Droniou, Jérôme; Porretta, Alessio; Prignet, Alain
69
2003
The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets. Zbl 1307.31022
Warma, Mahamadi
66
2015
Stochastic partial differential equations in \(M\)-type 2 Banach spaces. Zbl 0831.35161
Brzeźniak, Zdzisław
66
1995
Approximation for semilinear stochastic evolution equations. Zbl 1015.60053
Hausenblas, Erika
63
2003
Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs. Zbl 1036.35045
Palagachev, Dian K.; Softova, Lubomira G.
58
2004
Young integrals and SPDEs. Zbl 1103.60062
Gubinelli, Massimiliano; Lejay, Antoine; Tindel, Samy
56
2006
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.
53
2014
Parabolic Harnack inequality for divergence form second order differential operators. Zbl 0840.31006
Saloff-Coste, L.
52
1995
Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile. Zbl 1165.82309
Levine, Lionel; Peres, Yuval
52
2009
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.
52
2009
Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
Kipeläinen, Tero; Kinnunen, Juha; Martio, Olli
51
2000
The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004
Arendt, Wolfgang; Warma, Mahamadi
50
2003
Finite element methods for parabolic stochastic PDE’s. Zbl 1065.60082
Walsh, J. B.
50
2005
Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. I. Zbl 0915.60069
Gyöngy, István
49
1998
On fractional Brownian processes. Zbl 0944.60045
Feyel, Denis; de La Pradelle, Arnaud
49
1999
Parabolic equations with measurable coefficients. Zbl 1124.35024
Kim, Doyoon; Krylov, N. V.
48
2007
On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes. Zbl 1302.60109
Grzywny, Tomasz
47
2014
Fractional Brownian sheet. (Drap brownien fractionnaire.) Zbl 1006.60029
Ayache, Antoine; Leger, Stéphanie; Pontier, Monique
47
2002
Boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1223.42008
Burenkov, Victor I.; Gogatishvili, Amiran; Guliyev, Vagif S.; Mustafayev, Rza Ch.
45
2011
Nonlinear elliptic equations with measure data. Zbl 0815.35023
Del Vecchio, T.
45
1995
Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains. Zbl 1121.35060
Aikawa, Hiroaki; Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
44
2007
Chernoff’s theorem and discrete time approximations of Brownian motion on manifolds. Zbl 1107.58014
Smolyanov, Oleg G.; von Weizsäcker, Heinrich; Wittich, Olaf
43
2007
Convolution-type derivatives, hitting-times of subordinators and time-changed \(C_0\)-semigroups. Zbl 1315.60050
Toaldo, Bruno
42
2015
On discretization schemes for stochastic evolution equations. Zbl 1067.60049
Gyöngy, István; Millet, Annie
41
2005
Stochastic Navier-Stokes equations driven by Lévy noise in unbounded 3D domains. Zbl 1282.35282
Motyl, Elżbieta
41
2013
The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046
Bertoin, Jean; Yor, Marc
40
2002
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.
38
2014
Integration with respect to local time. Zbl 0964.60062
Eisenbaum, Nathalie
37
2000
Pathwise numerical approximations of SPDEs with additive noise under non-global Lipschitz coefficients. Zbl 1176.60051
Jentzen, Arnulf
37
2009
Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\). Zbl 1315.35048
Passarelli Di Napoli, Antonia
37
2014
Non-coercive linear elliptic problems. Zbl 1161.35362
Droniou, Jérôme
36
2002
Generalized Mehler semigroups: The non-Gaussian case. Zbl 0957.47028
Fuhrman, Marco; Röckner, Michael
36
2000
On a dual pair of spaces of smooth and generalized random variables. Zbl 0839.46035
Potthoff, Jürgen; Timpel, Matthias
35
1995
On nonlinear Rayleigh quotients. Zbl 0795.35039
Lindqvist, Peter
35
1993
White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. Zbl 1196.60121
Zhang, Tusheng
35
2010
Malliavin calculus for white noise driven parabolic SPDEs. Zbl 0928.60040
Bally, Vlad; Pardoux, Etienne
35
1998
Multipliers and Morrey spaces. Zbl 1267.42024
Lemarié-Rieusset, Pierre Gilles
35
2013
Group cohomology, harmonic functions and the first \(L^ 2\)-Betti number. Zbl 0882.22013
Bekka, Mohammed E. B.; Valette, Alain
34
1997
Green function estimates and Harnack inequality for subordinate Brownian motions. Zbl 1107.60042
Rao, Murali; Song, Renming; Vondraček, Zoran
34
2006
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.
34
2013
Existence and smoothness of the density for spatially homogeneous SPDEs. Zbl 1133.60029
Nualart, David; Quer-Sardanyons, Lluís
34
2007
Parabolic equations and Markov processes over \(p\)-adic fields. Zbl 1134.35005
Zúñiga-Galindo, W. A.
34
2008
Invariance of closed convex sets and domination criteria for semigroups. Zbl 0868.47029
Ouhabaz, El-Maati
33
1996
Compact differences of composition operators on the Bergman spaces over the ball. Zbl 1281.47012
Choe, Boo Rim; Koo, Hyungwoon; Park, Inyoung
33
2014
Rate of convergence of space time approximations for stochastic evolution equations. Zbl 1168.60025
Gyöngy, István; Millet, Annie
33
2009
Invariant measures and symmetry property of Lévy type operators. Zbl 0978.60096
Albeverio, Sergio; Rüdiger, Barbara; Wu, Jiang-Lun
32
2000
Adams’ inequality and limiting Sobolev embeddings into Zygmund spaces. Zbl 1279.46025
Tarsi, Cristina
32
2012
On the small time asymptotics of diffusion processes on path groups. Zbl 0993.60026
Aida, Shigeki; Zhang, Tusheng
31
2002
Estimates of the Green function for the fractional Laplacian perturbed by gradient. Zbl 1238.35018
Bogdan, Krzysztof; Jakubowski, Tomasz
31
2012
On the quasi-regularity of semi-Dirichlet forms. Zbl 0993.60075
Fitzsimmons, P. J.
31
2001
Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup. Zbl 0954.42010
García-Cuerva, José; Mauceri, Giancarlo; Sjögren, Peter; Torrea, José-Luis
31
1999
Heat kernel bounds on metric measure spaces and some applications. Zbl 1339.53043
Jiang, Renjin; Li, Huaiqian; Zhang, Huichun
30
2016
Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients. Zbl 1023.35041
Liskevich, Vitali; Sobol, Zeev
30
2003
Fractional differentiability for solutions of nonlinear elliptic equations. Zbl 1362.35064
Baisón, A. L.; Clop, A.; Giova, R.; Orobitg, J.; Passarelli di Napoli, A.
30
2017
Linear combinations of composition operators on the Fock-Sobolev spaces. Zbl 1300.47031
Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon
29
2014
Compactness of commutators of Riesz potential on Morrey spaces. Zbl 1163.42004
Chen, Yanping; Ding, Yong; Wang, Xinxia
29
2009
Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients. Zbl 1271.42020
Guliyev, Vagif S.; Softova, Lubomira G.
29
2013
Weighted \(L^p\)-estimates for elliptic equations with measurable coefficients in nonsmooth domains. Zbl 1293.35351
Byun, Sun-Sig; Palagachev, Dian K.
28
2014
Moser-type inequalities in Lorentz spaces. Zbl 0856.46020
Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido
28
1996
Diffusion equations and geometric inequalities. Zbl 0976.60065
Borell, Christer
28
2000
Hölder regularity for solutions of ultraparabolic equations in divergence form. Zbl 0980.35081
Polidoro, Sergio; Ragusa, Maria Alessandra
27
2001
Estimates for the torsion function and Sobolev constants. Zbl 1246.60108
van den Berg, Michiel
27
2012
Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Zbl 1306.60095
Wang, Ran; Zhang, Tusheng
27
2015
Regularity of Ornstein-Uhlenbeck processes driven by a Lévy white noise. Zbl 1187.60048
Brzeźniak, Zdzisław; Zabczyk, Jerzy
27
2010
Sobolev inequalities on homogeneous spaces. Zbl 0833.46020
Biroli, Marco; Mosco, Umberto
27
1995
Hausdorff measures on the Wiener space. Zbl 1081.28500
Feyel, D.; de La Pradelle, A.
27
1992
Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators. Zbl 1172.47018
Yang, Dachun; Yang, Dongyong; Zhou, Yuan
27
2009
Continuity of solutions of a class of fractional equations. Zbl 1407.35205
Dang, Duc Trong; Nane, Erkan; Nguyen, Dang Minh; Tuan, Nguyen Huy
26
2018
Approximation of the invariant measure with an Euler scheme for stochastic PDEs driven by space-time white noise. Zbl 1286.35010
Bréhier, Charles-Edouard
26
2014
Harmonic calculus on fractals – a measure geometric approach. I. Zbl 1055.28002
Freiberg, U.; Zähle, M.
26
2002
Smoothness of Brownian local times and related functionals. Zbl 0776.60092
Nualart, D.; Vives, J.
26
1992
On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact Riemannian manifold. Zbl 1304.58019
Brzeźniak, Z.; Millet, A.
25
2014
Riesz spherical potentials with external fields and minimal energy points separation. Zbl 1115.31003
Dragnev, P. D.; Saff, E. B.
25
2007
Hölder continuous solutions to complex Hessian equations. Zbl 1302.32034
Nguyen, Ngoc Cuong
25
2014
Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise. Zbl 0893.60033
Gyöngy, István; Nualart, David
24
1997
Random polynomials and pluripotential-theoretic extremal functions. Zbl 1308.32039
Bloom, T.; Levenberg, N.
24
2015
The Brunn-Minkowski inequality for the \(n\)-dimensional logarithmic capacity of convex bodies. Zbl 1074.31007
Colesanti, Andrea; Cuoghi, Paola
24
2005
Positive Toeplitz operators between the harmonic Bergman spaces. Zbl 1014.47014
Choe, Boo Rim; Koo, Hyungwoon; Yi, Heungsu
23
2002
Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\). Zbl 1271.42017
Ding, Yong; Han, Yongsheng; Lu, Guozhen; Wu, Xinfeng
23
2012
\(H^1 - L^1\) boundedness of Riesz transforms on Riemannian manifolds and on graphs. Zbl 0982.42008
Russ, Emmanuel
22
2001
Fractional-parabolic systems. Zbl 1259.35218
Kochubei, Anatoly N.
22
2012
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.
22
2005
Hölder continuity of solutions to quasilinear elliptic equations involving measures. Zbl 0813.35016
Kilpeläinen, Tero
22
1994
Martingale solution to equations for differential type fluids of grade two driven by random force of Lévy type. Zbl 1317.60078
Hausenblas, E.; Razafimandimby, P. A.; Sango, M.
21
2013
Stochastic reaction-diffusion equations driven by jump processes. Zbl 1398.60077
Brzeźniak, Zdzisław; Hausenblas, Erika; Razafimandimby, Paul André
21
2018
Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. Zbl 1052.47033
Lescot, Paul; Röckner, Michael
21
2004
Hausdorff dimension of spectrum of one-dimensional Schrödinger operator with Sturmian potentials. Zbl 1049.81023
Liu, Qing-Hui; Wen, Zhi-Ying
21
2004
Dirichlet norms, capacities and generalized isoperimetric inequalities for Markov operators. Zbl 1081.31502
Kaimanovich, Vadim A.
21
1992
Local continuity and Harnack’s inequality for double-phase parabolic equations. Zbl 1481.35047
Buryachenko, Kateryna O.; Skrypnik, Igor I.
3
2022
Trace and density results on regular trees. Zbl 1498.46049
Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang
3
2022
Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics. Zbl 1485.31001
Hardin, Douglas P.; Petrache, Mircea; Saff, Edward B.
1
2022
On the failure of multilinear multiplier theorem with endpoint smoothness conditions. Zbl 1482.42016
Park, Bae Jun
1
2022
Harnack inequalities for functional SDEs driven by subordinate Brownian motions. Zbl 1490.60151
Deng, Chang-Song; Huang, Xing
1
2022
On a characterization theorem for locally compact abelian groups containing an element of order 2. Zbl 1482.60006
Feldman, G. M.
1
2022
Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition. Zbl 1483.35051
Chen, Hang
1
2022
Phase transition of logarithmic capacity for the uniform \(G_\delta\)-sets. Zbl 1486.31007
Kleptsyn, Victor; Quintino, Fernando
1
2022
Anisotropic singular Neumann equations with unbalanced growth. Zbl 1492.35130
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
1
2022
Comparison principle for elliptic equations with mixed singular nonlinearities. Zbl 1491.35161
Durastanti, Riccardo; Oliva, Francescantonio
1
2022
Parabolic Harnack inequality implies the existence of jump kernel. Zbl 1489.60130
Liu, Guanhua; Murugan, Mathav
1
2022
On \(L^p\)-boundedness of Fourier integral operators. Zbl 1491.42026
Yang, Jie; Wang, Guangqing; Chen, Wenyi
1
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
1
2022
Quasiconformal harmonic mappings between the unit ball and a spatial domain with \(C^{1, \alpha}\) boundary. Zbl 07585802
Gjokaj, Anton; Kalaj, David
1
2022
Generalized superharmonic functions with strongly nonlinear operator. Zbl 1498.35253
Chlebicka, Iwona; Zatorska-Goldstein, Anna
1
2022
Strong Feller property for SDEs driven by multiplicative cylindrical stable noise. Zbl 1484.60062
Kulczycki, Tadeusz; Ryznar, Michał; Sztonyk, Paweł
5
2021
Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions. Zbl 1480.60227
Kawamoto, Yosuke; Osada, Hirofumi; Tanemura, Hideki
5
2021
Radial two weight inequality for maximal Bergman projection induced by a regular weight. Zbl 1462.30108
Korhonen, Taneli; Peláez, José Ángel; Rättyä, Jouni
3
2021
Limiting weak-type behaviors for certain classical operators in harmonic analysis. Zbl 07303865
Guo, Weichao; He, Jianxun; Wu, Huoxiong
3
2021
Riesz potential and maximal function for Dunkl transform. Zbl 1480.42028
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
3
2021
A comparison theorem for nonsmooth nonlinear operators. Zbl 1471.35159
Kozlov, Vladimir; Nazarov, Alexander
2
2021
Gradient Estimates in fractional Dirichlet Problems. Zbl 1460.35056
Fall, Mouhamed Moustapha; Jarohs, Sven
2
2021
Optimal trapping for Brownian motion: a nonlinear analogue of the torsion function. Zbl 1478.35105
Lu, Jianfeng; Steinerberger, Stefan
2
2021
Smooth orthogonal projections on Riemannian manifold. Zbl 1457.46036
Bownik, Marcin; Dziedziul, Karol; Kamont, Anna
2
2021
Analyticity of nonsymmetric Ornstein-Uhlenbeck semigroup with respect to a weighted Gaussian measure. Zbl 07303856
Addona, D.
2
2021
Remarks on the nonlocal Dirichlet problem. Zbl 1456.35059
Grzywny, Tomasz; Kassmann, Moritz; Leżaj, Łukasz
2
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
2
2021
Quasi-continuous vector fields on RCD spaces. Zbl 1457.53032
Debin, Clément; Gigli, Nicola; Pasqualetto, Enrico
2
2021
Weak limits of the measures of maximal entropy for orthogonal polynomials. Zbl 1460.42042
Petersen, Carsten Lunde; Uhre, Eva
2
2021
An Itô formula for rough partial differential equations and some applications. Zbl 1477.60148
Hocquet, Antoine; Nilssen, Torstein
2
2021
The subelliptic heat kernel of the octonionic Hopf fibration. Zbl 1481.58012
Baudoin, Fabrice; Cho, Gunhee
2
2021
Central limit theorems for non-symmetric random walks on nilpotent covering graphs. II. Zbl 1478.60109
Ishiwata, Satoshi; Kawabi, Hiroshi; Namba, Ryuya
1
2021
Hessian estimates for non-divergence form elliptic equations arising from composite materials. Zbl 1472.35120
Dong, Hongjie; Xu, Longjuan
1
2021
BMO solvability and absolute continuity of caloric measure. Zbl 1460.42025
Genschaw, Alyssa; Hofmann, Steve
1
2021
Capacities, removable sets and \(L^p\)-uniqueness on Wiener spaces. Zbl 1460.31014
Hinz, Michael; Kang, Seunghyun
1
2021
Sharp Riesz-Fejér inequality for harmonic Hardy spaces. Zbl 1460.31005
Melentijević, Petar; Božin, Vladimir
1
2021
Resistance forms on self-similar sets with finite ramification of finite type. Zbl 1462.28005
Cao, Shiping; Qiu, Hua
1
2021
Transfinite diameter with generalized polynomial degree. Zbl 1460.32074
Ma‘u, Sione
1
2021
Intrinsic differentiability and intrinsic regular surfaces in Carnot groups. Zbl 1456.35206
Di Donato, Daniela
1
2021
Correction to: “The mixed problem for the Laplacian in Lipschitz domains”. Zbl 1479.35411
Ott, Katharine A.; Brown, Russell M.
1
2021
Conformal Gauss map geometry and application to Willmore surfaces in model spaces. Zbl 1482.53016
Marque, Nicolas
1
2021
A \(L_p\) Brunn-Minkowski theory for logarithmic capacity. Zbl 1457.31008
Chen, Zhengmao
1
2021
Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications. Zbl 1471.42028
Yang, Jiexing; Liu, Zongguang; Wu, Xinfeng
1
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
1
2021
On the continuity and compactness of pseudodifferential operators on localizable Hardy spaces. Zbl 1476.35350
Hoepfner, G.; Kapp, R.; Picon, T.
1
2021
Weighted estimates for bilinear Bochner-Riesz means at the critical index. Zbl 1486.42032
Jotsaroop, K.; Shrivastava, Saurabh; Shuin, Kalachand
1
2021
A capacity-based condition for existence of solutions to fractional elliptic equations with first-order terms and measures. Zbl 1481.35379
de Borbón, María Laura; Ochoa, Pablo
1
2021
Beurling-Ahlfors commutators on weighted Morrey spaces and applications to Beltrami equations. Zbl 1448.42025
Tao, Jin; Yang, Dachun; Yang, Dongyong
16
2020
Boundedness of operators on certain weighted Morrey spaces beyond the Muckenhoupt range. Zbl 1453.42019
Duoandikoetxea, Javier; Rosenthal, Marcel
8
2020
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 1456.35147
Krejčiřík, David; Lotoreichik, Vladimir
6
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
6
2020
Stein’s method for rough paths. Zbl 1453.60165
Coutin, L.; Decreusefond, L.
6
2020
Dyadic norm Besov-type spaces as trace spaces on regular trees. Zbl 1464.46044
Koskela, Pekka; Wang, Zhuang
6
2020
Multiplicity and concentration results for fractional Schrödinger-Poisson equations with magnetic fields and critical growth. Zbl 1439.35027
Ambrosio, Vincenzo
5
2020
Unbounded weighted composition operators on Fock space. Zbl 07216720
Hai, Pham Viet
5
2020
Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry. Zbl 1442.35056
Große, Nadine; Nistor, Victor
5
2020
Decoupled mild solutions of path-dependent PDEs and integro PDEs represented by BSDEs driven by cadlag martingales. Zbl 1453.60114
Barrasso, Adrien; Russo, Francesco
5
2020
Heat kernel estimates of fractional Schrödinger operators with negative Hardy potential. Zbl 1459.60153
Jakubowski, Tomasz; Wang, Jian
5
2020
Ergodicity and Kolmogorov equations for dissipative SPDEs with singular drift: a variational approach. Zbl 1447.60115
Marinelli, Carlo; Scarpa, Luca
5
2020
Irreducibility and asymptotics of stochastic Burgers equation driven by \(\alpha \)-stable processes. Zbl 1471.60036
Dong, Zhao; Wang, Feng-Yu; Xu, Lihu
5
2020
Dirichlet heat kernel for the Laplacian in a ball. Zbl 1448.35276
Małecki, Jacek; Serafin, Grzegorz
4
2020
Discrete harmonic analysis associated with ultraspherical expansions. Zbl 1472.39008
Betancor, Jorge J.; Castro, Alejandro J.; Fariña, Juan C.; Rodríguez-Mesa, L.
4
2020
Harnack inequality for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces. Zbl 1445.35099
Benyaiche, Allami; Khlifi, Ismail
4
2020
The torsion function of convex domains of high eccentricity. Zbl 1445.35129
Beck, Thomas
4
2020
Schwarz lemma, and distortion for harmonic functions via length and area. Zbl 1451.30049
Mateljević, M.
4
2020
Another look at the Hartman-Watson distributions. Zbl 1454.60125
Jakubowski, Jacek; Wiśniewolski, Maciej
4
2020
Quasiopen sets, bounded variation and lower semicontinuity in metric spaces. Zbl 1435.30165
Lahti, Panu
4
2020
On the essential self-adjointness of singular sub-Laplacians. Zbl 07216723
Franceschi, Valentina; Prandi, Dario; Rizzi, Luca
3
2020
Large deviations for quasilinear parabolic stochastic partial differential equations. Zbl 1451.60064
Dong, Zhao; Zhang, Rangrang; Zhang, Tusheng
3
2020
Brownian loops topology. Zbl 1443.60082
Le Jan, Yves
3
2020
(Pluri)potential compactifications. Zbl 1473.32012
Poletsky, Evgeny A.
3
2020
Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities. Zbl 1444.91020
Arroyo, Ángel; Luiro, Hannes; Parviainen, Mikko; Ruosteenoja, Eero
3
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
3
2020
Reilly-type inequalities for Paneitz and Steklov eigenvalues. Zbl 1447.35233
Roth, Julien
3
2020
Green’s function for second order elliptic equations in non-divergence form. Zbl 07155467
Hwang, Sukjung; Kim, Seick
3
2020
Weighted Calderón-Zygmund estimates for weak solutions of quasi-linear degenerate elliptic equations. Zbl 1435.35174
Phan, Tuoc
3
2020
Mean value property and harmonicity on Carnot-Carathéodory groups. Zbl 1437.35170
Adamowicz, Tomasz; Warhurst, Ben
3
2020
Quasilinear and Hessian Lane-Emden type systems with measure data. Zbl 1441.35135
Bidaut-Véron, Marie-Françoise; Nguyen, Quoc-Hung; Véron, Laurent
2
2020
Local times for spectrally negative Lévy processes. Zbl 1434.60211
Li, Bo; Zhou, Xiaowen
2
2020
On the boundary theory of subordinate killed Lévy processes. Zbl 1451.60090
Kim, Panki; Song, Renming; Vondraček, Zoran
2
2020
Equivalence of sharp Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1456.46034
Tang, Hanli
2
2020
Blow-up results for space-time fractional stochastic partial differential equations. Zbl 1453.60113
Asogwa, Sunday A.; Mijena, Jebessa B.; Nane, Erkan
2
2020
Large deviations for stochastic nematic liquid crystals driven by multiplicative Gaussian noise. Zbl 1454.60039
Brzeźniak, Zdzisław; Manna, Utpal; Panda, Akash Ashirbad
2
2020
Exponential contraction in Wasserstein distances for diffusion semigroups with negative curvature. Zbl 1454.60129
Wang, Feng-Yu
2
2020
Various concepts of Riesz energy of measures and application to condensers with touching plates. Zbl 1456.31008
Fuglede, Bent; Zorii, Natalia
2
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
2
2020
Weighted norm inequalities for local fractional integrals on Gaussian measure spaces. Zbl 1448.42032
Lin, Haibo; Mao, Shengchen
2
2020
Riesz-Fejér inequalities for harmonic functions. Zbl 1439.31001
Kayumov, Ilgiz R.; Ponnusamy, Saminathan; Kaliraj, Anbareeswaran Sairam
2
2020
Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation. Zbl 1433.81084
Remizov, Ivan D.
2
2020
A note on reflected Dirichlet forms. Zbl 1436.31030
Schmidt, Marcel
2
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
2
2020
The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials. Zbl 1435.60036
Kaleta, Kamil; Pietruska-Pałuba, Katarzyna
2
2020
On estimates of transition density for subordinate Brownian motions with Gaussian components in \(C^{1,1}\)-open sets. Zbl 1434.60204
Bae, Joohak; Kim, Panki
1
2020
Doubly Feller property of Brownian motions with Robin boundary condition. Zbl 1442.31006
Matsuura, Kouhei
1
2020
Solutions of SPDE’s associated with a stochastic flow. Zbl 1451.60062
Bhar, Suprio; Rajeev, Bhaskaran; Sarkar, Barun
1
2020
Quantitative Fatou theorems and uniform rectifiability. Zbl 1453.31010
Bortz, Simon; Hofmann, Steve
1
2020
Estimates for Dirichlet-to-Neumann maps as integro-differential operators. Zbl 1443.35016
Guillen, Nestor; Kitagawa, Jun; Schwab, Russell W.
1
2020
Littlewood-Paley inequalities on manifolds with ends. Zbl 1444.42020
Bui, The Anh
1
2020
Two-dimensional Brownian random interlacements. Zbl 1453.60136
Comets, Francis; Popov, Serguei
1
2020
On the Cauchy problem for nondegenerate parabolic integro-differential equations in the scale of generalized Hölder spaces. Zbl 1447.35341
Mikulevičius, R.; Xu, Fanhui
1
2020
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59 Yang, Dachun
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47 Sawano, Yoshihiro
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46 Zhang, Tusheng S.
45 Guliyev, Vagif Sabir
45 Röckner, Michael
44 Yan, Litan
39 Albeverio, Sergio A.
39 Dong, Hongjie
37 Strichartz, Robert S.
37 Warma, Mahamadi
34 Shimomura, Tetsu
33 Brzeźniak, Zdzisław
32 Baudoin, Fabrice
32 Lu, Guozhen
32 Wang, Feng-Yu
31 Wang, Jian
30 Yuan, Wen
29 Bogdan, Krzysztof
28 Klimsiak, Tomasz
28 Saloff-Coste, Laurent
28 Shanmugalingam, Nageswari
27 Jentzen, Arnulf
27 Teplyaev, Alexander
27 Tudor, Ciprian A.
26 Beznea, Lucian
26 Björn, Anders
26 Kumagai, Takashi
25 Mizuta, Yoshihiro
25 Ren, Yong
24 Björn, Jana
24 Byun, Sun-Sig
24 Øksendal, Bernt Karsten
24 Vondraček, Zoran
24 Wendland, Wolfgang L.
23 Kohr, Mirela
23 Koskela, Pekka
23 Maz’ya, Vladimir Gilelevich
23 Takeda, Masayoshi
22 Grothaus, Martin
22 Hausenblas, Erika
22 Lam, Nguyen
22 Ohno, Takao
22 Schilling, René Leander
22 Zhang, Xicheng
21 Grzywny, Tomasz
21 Jakubowski, Tomasz
21 Tindel, Samy
20 Bass, Richard F.
20 Hansen, Wolfhard
20 Hu, Mingshang
20 Jumarie, Guy M.
20 Kim, Doyoon
20 Kulczycki, Tadeusz
20 Saff, Edward Barry
19 Choe, Boo Rim
19 Kuwae, Kazuhiro
19 Mâagli, Habib
19 van den Berg, Michiel
19 Yuan, Chenggui
19 Zhai, Jianliang
18 Bañuelos, Rodrigo
18 Gyöngy, István
18 Harjulehto, Petteri
18 Hinz, Michael
18 Patie, Pierre
18 Ryznar, Michał
18 ter Elst, Antonius Frederik Maria
18 Veraar, Mark C.
18 Zorii, Natalia
17 Cianchi, Andrea
17 Gordina, Maria
17 Jørgensen, Palle E. T.
17 Kaßmann, Moritz
17 Kim, KyeongHun
17 Kinnunen, Juha
17 Koo, Hyungwoon
17 Liu, Wei
17 Privault, Nicolas
17 Proske, Frank Norbert
17 Russo, Francesco
17 Smolyanov, Oleg Georgievich
17 Sun, Wei
16 Bendikov, Alexander D.
16 Górka, Przemysław
16 Priola, Enrico
16 Rozkosz, Andrzej
16 van Neerven, Jan M. A. M.
16 Xiao, Yimin
16 Zheng, Shenzhou
15 Ambrosio, Luigi
15 Burenkov, Viktor Ivanovich
15 Grigor’yan, Alexander Asaturovich
15 Guillin, Arnaud
15 Hästö, Peter A.
15 Kaleta, Kamil
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Cited in 588 Journals

452 Potential Analysis
336 Journal of Functional Analysis
328 Journal of Mathematical Analysis and Applications
286 Stochastic Processes and their Applications
217 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
208 Journal of Differential Equations
160 Transactions of the American Mathematical Society
133 Calculus of Variations and Partial Differential Equations
116 The Annals of Probability
105 Journal of Theoretical Probability
104 Proceedings of the American Mathematical Society
101 The Journal of Geometric Analysis
90 Statistics & Probability Letters
86 Stochastic Analysis and Applications
84 Probability Theory and Related Fields
79 Advances in Mathematics
78 Mathematische Zeitschrift
78 Infinite Dimensional Analysis, Quantum Probability and Related Topics
73 Journal of Evolution Equations
73 Stochastics and Dynamics
70 Stochastics
69 Annali di Matematica Pura ed Applicata. Serie Quarta
67 Complex Variables and Elliptic Equations
66 Mathematische Annalen
66 Journal de Mathématiques Pures et Appliquées. Neuvième Série
61 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
61 Communications on Pure and Applied Analysis
60 Bernoulli
57 Acta Mathematica Sinica. English Series
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56 The Journal of Fourier Analysis and Applications
52 Science China. Mathematics
51 Stochastic and Partial Differential Equations. Analysis and Computations
50 Journal d’Analyse Mathématique
50 Comptes Rendus. Mathématique. Académie des Sciences, Paris
49 Mathematische Nachrichten
49 Discrete and Continuous Dynamical Systems
46 Journal of Mathematical Physics
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44 Journal of Inequalities and Applications
43 The Annals of Applied Probability
42 Bulletin des Sciences Mathématiques
40 Communications in Mathematical Physics
40 Revista Matemática Iberoamericana
40 Positivity
39 Mediterranean Journal of Mathematics
39 Frontiers of Mathematics in China
38 Communications in Partial Differential Equations
38 SIAM Journal on Mathematical Analysis
38 NoDEA. Nonlinear Differential Equations and Applications
37 Abstract and Applied Analysis
36 Discrete and Continuous Dynamical Systems. Series B
35 Archive for Rational Mechanics and Analysis
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34 Complex Analysis and Operator Theory
34 Journal of Function Spaces
33 Analysis and Mathematical Physics
32 Fractional Calculus & Applied Analysis
32 Communications in Contemporary Mathematics
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30 Integral Equations and Operator Theory
30 Journal of Computational and Applied Mathematics
30 Forum Mathematicum
30 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
29 Applied Mathematics and Optimization
29 Archiv der Mathematik
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27 Manuscripta Mathematica
26 Applicable Analysis
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25 Revista Matemática Complutense
25 Boundary Value Problems
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24 Mathematical Methods in the Applied Sciences
24 Annales de l’Institut Fourier
24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 Chaos, Solitons and Fractals
23 Journal of Approximation Theory
22 Constructive Approximation
22 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
20 Mathematical Notes
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20 Advances in Calculus of Variations
20 Analysis & PDE
19 Collectanea Mathematica
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18 Israel Journal of Mathematics
18 Arkiv för Matematik
18 Chinese Annals of Mathematics. Series B
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