## 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

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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)

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Parabolic Harnack inequality for divergence form second order differential operators. Zbl 0840.31006
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Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile. Zbl 1165.82309
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Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
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The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004
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Finite element methods for parabolic stochastic PDE’s. Zbl 1065.60082
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Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. I. Zbl 0915.60069
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On fractional Brownian processes. Zbl 0944.60045
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On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes. Zbl 1302.60109
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2014
Fractional Brownian sheet. (Drap brownien fractionnaire.) Zbl 1006.60029
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2002
Boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1223.42008
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2011
Nonlinear elliptic equations with measure data. Zbl 0815.35023
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Boundary Harnack principle for $$p$$-harmonic functions in smooth Euclidean domains. Zbl 1121.35060
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Chernoff’s theorem and discrete time approximations of Brownian motion on manifolds. Zbl 1107.58014
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2007
Convolution-type derivatives, hitting-times of subordinators and time-changed $$C_0$$-semigroups. Zbl 1315.60050
Toaldo, Bruno
2015
On discretization schemes for stochastic evolution equations. Zbl 1067.60049
Gyöngy, István; Millet, Annie
2005
Stochastic Navier-Stokes equations driven by Lévy noise in unbounded 3D domains. Zbl 1282.35282
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2013
The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046
Bertoin, Jean; Yor, Marc
2002
On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem. Zbl 1296.45009
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2014
Integration with respect to local time. Zbl 0964.60062
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2000
Pathwise numerical approximations of SPDEs with additive noise under non-global Lipschitz coefficients. Zbl 1176.60051
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2009
Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case $$p=n=2$$. Zbl 1315.35048
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2014
Non-coercive linear elliptic problems. Zbl 1161.35362
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2002
Generalized Mehler semigroups: The non-Gaussian case. Zbl 0957.47028
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2000
On a dual pair of spaces of smooth and generalized random variables. Zbl 0839.46035
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1995
On nonlinear Rayleigh quotients. Zbl 0795.35039
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White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. Zbl 1196.60121
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2010
Malliavin calculus for white noise driven parabolic SPDEs. Zbl 0928.60040
1998
Multipliers and Morrey spaces. Zbl 1267.42024
Lemarié-Rieusset, Pierre Gilles
2013
Group cohomology, harmonic functions and the first $$L^ 2$$-Betti number. Zbl 0882.22013
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1997
Green function estimates and Harnack inequality for subordinate Brownian motions. Zbl 1107.60042
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2006
Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains. Zbl 1269.47053
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2013
Existence and smoothness of the density for spatially homogeneous SPDEs. Zbl 1133.60029
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2007
Parabolic equations and Markov processes over $$p$$-adic fields. Zbl 1134.35005
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1996
Compact differences of composition operators on the Bergman spaces over the ball. Zbl 1281.47012
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2014
Rate of convergence of space time approximations for stochastic evolution equations. Zbl 1168.60025
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2009
Invariant measures and symmetry property of Lévy type operators. Zbl 0978.60096
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2000
Adams’ inequality and limiting Sobolev embeddings into Zygmund spaces. Zbl 1279.46025
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2012
On the small time asymptotics of diffusion processes on path groups. Zbl 0993.60026
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2002
Estimates of the Green function for the fractional Laplacian perturbed by gradient. Zbl 1238.35018
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2012
On the quasi-regularity of semi-Dirichlet forms. Zbl 0993.60075
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2001
Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup. Zbl 0954.42010
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1999
Heat kernel bounds on metric measure spaces and some applications. Zbl 1339.53043
Jiang, Renjin; Li, Huaiqian; Zhang, Huichun
2016
Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients. Zbl 1023.35041
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2003
Fractional differentiability for solutions of nonlinear elliptic equations. Zbl 1362.35064
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2017
Linear combinations of composition operators on the Fock-Sobolev spaces. Zbl 1300.47031
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2014
Compactness of commutators of Riesz potential on Morrey spaces. Zbl 1163.42004
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2009
Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients. Zbl 1271.42020
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2013
Weighted $$L^p$$-estimates for elliptic equations with measurable coefficients in nonsmooth domains. Zbl 1293.35351
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2014
Moser-type inequalities in Lorentz spaces. Zbl 0856.46020
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1996
Diffusion equations and geometric inequalities. Zbl 0976.60065
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2000
Hölder regularity for solutions of ultraparabolic equations in divergence form. Zbl 0980.35081
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2001
Estimates for the torsion function and Sobolev constants. Zbl 1246.60108
van den Berg, Michiel
2012
Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Zbl 1306.60095
Wang, Ran; Zhang, Tusheng
2015
Regularity of Ornstein-Uhlenbeck processes driven by a Lévy white noise. Zbl 1187.60048
Brzeźniak, Zdzisław; Zabczyk, Jerzy
2010
Sobolev inequalities on homogeneous spaces. Zbl 0833.46020
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1995
Hausdorff measures on the Wiener space. Zbl 1081.28500
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1992
Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators. Zbl 1172.47018
Yang, Dachun; Yang, Dongyong; Zhou, Yuan
2009
Continuity of solutions of a class of fractional equations. Zbl 1407.35205
Dang, Duc Trong; Nane, Erkan; Nguyen, Dang Minh; Tuan, Nguyen Huy
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
2014
Harmonic calculus on fractals – a measure geometric approach. I. Zbl 1055.28002
Freiberg, U.; Zähle, M.
2002
Smoothness of Brownian local times and related functionals. Zbl 0776.60092
Nualart, D.; Vives, J.
1992
On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact Riemannian manifold. Zbl 1304.58019
Brzeźniak, Z.; Millet, A.
2014
Riesz spherical potentials with external fields and minimal energy points separation. Zbl 1115.31003
Dragnev, P. D.; Saff, E. B.
2007
Hölder continuous solutions to complex Hessian equations. Zbl 1302.32034
Nguyen, Ngoc Cuong
2014
Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise. Zbl 0893.60033
Gyöngy, István; Nualart, David
1997
Random polynomials and pluripotential-theoretic extremal functions. Zbl 1308.32039
Bloom, T.; Levenberg, N.
2015
The Brunn-Minkowski inequality for the $$n$$-dimensional logarithmic capacity of convex bodies. Zbl 1074.31007
Colesanti, Andrea; Cuoghi, Paola
2005
Positive Toeplitz operators between the harmonic Bergman spaces. Zbl 1014.47014
Choe, Boo Rim; Koo, Hyungwoon; Yi, Heungsu
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
2012
$$H^1 - L^1$$ boundedness of Riesz transforms on Riemannian manifolds and on graphs. Zbl 0982.42008
Russ, Emmanuel
2001
Fractional-parabolic systems. Zbl 1259.35218
Kochubei, Anatoly N.
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.
2005
Hölder continuity of solutions to quasilinear elliptic equations involving measures. Zbl 0813.35016
Kilpeläinen, Tero
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.
2013
Stochastic reaction-diffusion equations driven by jump processes. Zbl 1398.60077
Brzeźniak, Zdzisław; Hausenblas, Erika; Razafimandimby, Paul André
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
2004
Hausdorff dimension of spectrum of one-dimensional Schrödinger operator with Sturmian potentials. Zbl 1049.81023
Liu, Qing-Hui; Wen, Zhi-Ying
2004
Dirichlet norms, capacities and generalized isoperimetric inequalities for Markov operators. Zbl 1081.31502
1992
Local continuity and Harnack’s inequality for double-phase parabolic equations. Zbl 1481.35047
Buryachenko, Kateryna O.; Skrypnik, Igor I.
2022
Trace and density results on regular trees. Zbl 1498.46049
Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang
2022
Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics. Zbl 1485.31001
Hardin, Douglas P.; Petrache, Mircea; Saff, Edward B.
2022
On the failure of multilinear multiplier theorem with endpoint smoothness conditions. Zbl 1482.42016
Park, Bae Jun
2022
Harnack inequalities for functional SDEs driven by subordinate Brownian motions. Zbl 1490.60151
Deng, Chang-Song; Huang, Xing
2022
On a characterization theorem for locally compact abelian groups containing an element of order 2. Zbl 1482.60006
Feldman, G. M.
2022
Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition. Zbl 1483.35051
Chen, Hang
2022
Phase transition of logarithmic capacity for the uniform $$G_\delta$$-sets. Zbl 1486.31007
Kleptsyn, Victor; Quintino, Fernando
2022
Anisotropic singular Neumann equations with unbalanced growth. Zbl 1492.35130
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2022
Comparison principle for elliptic equations with mixed singular nonlinearities. Zbl 1491.35161
Durastanti, Riccardo; Oliva, Francescantonio
2022
Parabolic Harnack inequality implies the existence of jump kernel. Zbl 1489.60130
Liu, Guanhua; Murugan, Mathav
2022
On $$L^p$$-boundedness of Fourier integral operators. Zbl 1491.42026
Yang, Jie; Wang, Guangqing; Chen, Wenyi
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
2022
Quasiconformal harmonic mappings between the unit ball and a spatial domain with $$C^{1, \alpha}$$ boundary. Zbl 07585802
Gjokaj, Anton; Kalaj, David
2022
Generalized superharmonic functions with strongly nonlinear operator. Zbl 1498.35253
Chlebicka, Iwona; Zatorska-Goldstein, Anna
2022
Strong Feller property for SDEs driven by multiplicative cylindrical stable noise. Zbl 1484.60062
Kulczycki, Tadeusz; Ryznar, Michał; Sztonyk, Paweł
2021
Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions. Zbl 1480.60227
Kawamoto, Yosuke; Osada, Hirofumi; Tanemura, Hideki
2021
Radial two weight inequality for maximal Bergman projection induced by a regular weight. Zbl 1462.30108
Korhonen, Taneli; Peláez, José Ángel; Rättyä, Jouni
2021
Limiting weak-type behaviors for certain classical operators in harmonic analysis. Zbl 07303865
Guo, Weichao; He, Jianxun; Wu, Huoxiong
2021
Riesz potential and maximal function for Dunkl transform. Zbl 1480.42028
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
2021
A comparison theorem for nonsmooth nonlinear operators. Zbl 1471.35159
2021
Gradient Estimates in fractional Dirichlet Problems. Zbl 1460.35056
Fall, Mouhamed Moustapha; Jarohs, Sven
2021
Optimal trapping for Brownian motion: a nonlinear analogue of the torsion function. Zbl 1478.35105
Lu, Jianfeng; Steinerberger, Stefan
2021
Smooth orthogonal projections on Riemannian manifold. Zbl 1457.46036
Bownik, Marcin; Dziedziul, Karol; Kamont, Anna
2021
Analyticity of nonsymmetric Ornstein-Uhlenbeck semigroup with respect to a weighted Gaussian measure. Zbl 07303856
2021
Remarks on the nonlocal Dirichlet problem. Zbl 1456.35059
Grzywny, Tomasz; Kassmann, Moritz; Leżaj, Łukasz
2021
Sharp weighted Trudinger-Moser inequalities with the $$L^n$$ norm in the entire space $$\mathbb{R}^n$$ and existence of their extremal functions. Zbl 1459.35139
Wang, Xumin; Chen, Lu
2021
Quasi-continuous vector fields on RCD spaces. Zbl 1457.53032
Debin, Clément; Gigli, Nicola; Pasqualetto, Enrico
2021
Weak limits of the measures of maximal entropy for orthogonal polynomials. Zbl 1460.42042
Petersen, Carsten Lunde; Uhre, Eva
2021
An Itô formula for rough partial differential equations and some applications. Zbl 1477.60148
Hocquet, Antoine; Nilssen, Torstein
2021
The subelliptic heat kernel of the octonionic Hopf fibration. Zbl 1481.58012
Baudoin, Fabrice; Cho, Gunhee
2021
Central limit theorems for non-symmetric random walks on nilpotent covering graphs. II. Zbl 1478.60109
Ishiwata, Satoshi; Kawabi, Hiroshi; Namba, Ryuya
2021
Hessian estimates for non-divergence form elliptic equations arising from composite materials. Zbl 1472.35120
Dong, Hongjie; Xu, Longjuan
2021
BMO solvability and absolute continuity of caloric measure. Zbl 1460.42025
Genschaw, Alyssa; Hofmann, Steve
2021
Capacities, removable sets and $$L^p$$-uniqueness on Wiener spaces. Zbl 1460.31014
Hinz, Michael; Kang, Seunghyun
2021
Sharp Riesz-Fejér inequality for harmonic Hardy spaces. Zbl 1460.31005
2021
Resistance forms on self-similar sets with finite ramification of finite type. Zbl 1462.28005
Cao, Shiping; Qiu, Hua
2021
Transfinite diameter with generalized polynomial degree. Zbl 1460.32074
Ma&lsquo;u, Sione
2021
Intrinsic differentiability and intrinsic regular surfaces in Carnot groups. Zbl 1456.35206
Di Donato, Daniela
2021
Correction to: “The mixed problem for the Laplacian in Lipschitz domains”. Zbl 1479.35411
Ott, Katharine A.; Brown, Russell M.
2021
Conformal Gauss map geometry and application to Willmore surfaces in model spaces. Zbl 1482.53016
Marque, Nicolas
2021
A $$L_p$$ Brunn-Minkowski theory for logarithmic capacity. Zbl 1457.31008
Chen, Zhengmao
2021
Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications. Zbl 1471.42028
Yang, Jiexing; Liu, Zongguang; Wu, Xinfeng
2021
Asymptotic log-Harnack inequality and ergodicity for 3D Leray-$$\alpha$$ model with degenerate type noise. Zbl 1475.60119
Hong, Wei; Li, Shihu; Liu, Wei
2021
On the continuity and compactness of pseudodifferential operators on localizable Hardy spaces. Zbl 1476.35350
Hoepfner, G.; Kapp, R.; Picon, T.
2021
Weighted estimates for bilinear Bochner-Riesz means at the critical index. Zbl 1486.42032
Jotsaroop, K.; Shrivastava, Saurabh; Shuin, Kalachand
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
2021
Beurling-Ahlfors commutators on weighted Morrey spaces and applications to Beltrami equations. Zbl 1448.42025
Tao, Jin; Yang, Dachun; Yang, Dongyong
2020
Boundedness of operators on certain weighted Morrey spaces beyond the Muckenhoupt range. Zbl 1453.42019
Duoandikoetxea, Javier; Rosenthal, Marcel
2020
Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 1456.35147
2020
Stability of stochastic functional differential equations with regime-switching: analysis using Dupire’s functional Itô formula. Zbl 1448.60127
Nguyen, Dang Hai; Yin, George
2020
Stein’s method for rough paths. Zbl 1453.60165
Coutin, L.; Decreusefond, L.
2020
Dyadic norm Besov-type spaces as trace spaces on regular trees. Zbl 1464.46044
Koskela, Pekka; Wang, Zhuang
2020
Multiplicity and concentration results for fractional Schrödinger-Poisson equations with magnetic fields and critical growth. Zbl 1439.35027
Ambrosio, Vincenzo
2020
Unbounded weighted composition operators on Fock space. Zbl 07216720
Hai, Pham Viet
2020
Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry. Zbl 1442.35056
2020
Decoupled mild solutions of path-dependent PDEs and integro PDEs represented by BSDEs driven by cadlag martingales. Zbl 1453.60114
2020
Heat kernel estimates of fractional Schrödinger operators with negative Hardy potential. Zbl 1459.60153
Jakubowski, Tomasz; Wang, Jian
2020
Ergodicity and Kolmogorov equations for dissipative SPDEs with singular drift: a variational approach. Zbl 1447.60115
Marinelli, Carlo; Scarpa, Luca
2020
Irreducibility and asymptotics of stochastic Burgers equation driven by $$\alpha$$-stable processes. Zbl 1471.60036
Dong, Zhao; Wang, Feng-Yu; Xu, Lihu
2020
Dirichlet heat kernel for the Laplacian in a ball. Zbl 1448.35276
Małecki, Jacek; Serafin, Grzegorz
2020
Discrete harmonic analysis associated with ultraspherical expansions. Zbl 1472.39008
Betancor, Jorge J.; Castro, Alejandro J.; Fariña, Juan C.; Rodríguez-Mesa, L.
2020
Harnack inequality for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces. Zbl 1445.35099
Benyaiche, Allami; Khlifi, Ismail
2020
The torsion function of convex domains of high eccentricity. Zbl 1445.35129
Beck, Thomas
2020
Schwarz lemma, and distortion for harmonic functions via length and area. Zbl 1451.30049
Mateljević, M.
2020
Another look at the Hartman-Watson distributions. Zbl 1454.60125
Jakubowski, Jacek; Wiśniewolski, Maciej
2020
Quasiopen sets, bounded variation and lower semicontinuity in metric spaces. Zbl 1435.30165
Lahti, Panu
2020
On the essential self-adjointness of singular sub-Laplacians. Zbl 07216723
Franceschi, Valentina; Prandi, Dario; Rizzi, Luca
2020
Large deviations for quasilinear parabolic stochastic partial differential equations. Zbl 1451.60064
Dong, Zhao; Zhang, Rangrang; Zhang, Tusheng
2020
Brownian loops topology. Zbl 1443.60082
Le Jan, Yves
2020
(Pluri)potential compactifications. Zbl 1473.32012
Poletsky, Evgeny A.
2020
Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities. Zbl 1444.91020
Arroyo, Ángel; Luiro, Hannes; Parviainen, Mikko; Ruosteenoja, Eero
2020
Green’s identities, comparison principle and uniqueness of positive solutions for nonlinear $$p$$-sub-Laplacian equations on stratified Lie groups. Zbl 1442.35492
Ruzhansky, Michael; Suragan, Durvudkhan
2020
Reilly-type inequalities for Paneitz and Steklov eigenvalues. Zbl 1447.35233
Roth, Julien
2020
Green’s function for second order elliptic equations in non-divergence form. Zbl 07155467
Hwang, Sukjung; Kim, Seick
2020
Weighted Calderón-Zygmund estimates for weak solutions of quasi-linear degenerate elliptic equations. Zbl 1435.35174
Phan, Tuoc
2020
Mean value property and harmonicity on Carnot-Carathéodory groups. Zbl 1437.35170
2020
Quasilinear and Hessian Lane-Emden type systems with measure data. Zbl 1441.35135
Bidaut-Véron, Marie-Françoise; Nguyen, Quoc-Hung; Véron, Laurent
2020
Local times for spectrally negative Lévy processes. Zbl 1434.60211
Li, Bo; Zhou, Xiaowen
2020
On the boundary theory of subordinate killed Lévy processes. Zbl 1451.60090
Kim, Panki; Song, Renming; Vondraček, Zoran
2020
Equivalence of sharp Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1456.46034
Tang, Hanli
2020
Blow-up results for space-time fractional stochastic partial differential equations. Zbl 1453.60113
Asogwa, Sunday A.; Mijena, Jebessa B.; Nane, Erkan
2020
Large deviations for stochastic nematic liquid crystals driven by multiplicative Gaussian noise. Zbl 1454.60039
Brzeźniak, Zdzisław; Manna, Utpal; Panda, Akash Ashirbad
2020
Exponential contraction in Wasserstein distances for diffusion semigroups with negative curvature. Zbl 1454.60129
Wang, Feng-Yu
2020
Various concepts of Riesz energy of measures and application to condensers with touching plates. Zbl 1456.31008
Fuglede, Bent; Zorii, Natalia
2020
Deep factorisation of the stable process III: the view from radial excursion theory and the point of closest reach. Zbl 1460.60024
Kyprianou, Andreas E.; Rivero, Victor; Satitkanitkul, Weerapat
2020
Weighted norm inequalities for local fractional integrals on Gaussian measure spaces. Zbl 1448.42032
Lin, Haibo; Mao, Shengchen
2020
Riesz-Fejér inequalities for harmonic functions. Zbl 1439.31001
Kayumov, Ilgiz R.; Ponnusamy, Saminathan; Kaliraj, Anbareeswaran Sairam
2020
Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation. Zbl 1433.81084
Remizov, Ivan D.
2020
A note on reflected Dirichlet forms. Zbl 1436.31030
Schmidt, Marcel
2020
The horizontal heat kernel on the quaternionic anti-de Sitter spaces and related twistor spaces. Zbl 1462.53045
Baudoin, Fabrice; Demni, Nizar; Wang, Jing
2020
The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials. Zbl 1435.60036
Kaleta, Kamil; Pietruska-Pałuba, Katarzyna
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
2020
Doubly Feller property of Brownian motions with Robin boundary condition. Zbl 1442.31006
Matsuura, Kouhei
2020
Solutions of SPDE’s associated with a stochastic flow. Zbl 1451.60062
Bhar, Suprio; Rajeev, Bhaskaran; Sarkar, Barun
2020
Quantitative Fatou theorems and uniform rectifiability. Zbl 1453.31010
Bortz, Simon; Hofmann, Steve
2020
Estimates for Dirichlet-to-Neumann maps as integro-differential operators. Zbl 1443.35016
Guillen, Nestor; Kitagawa, Jun; Schwab, Russell W.
2020
Littlewood-Paley inequalities on manifolds with ends. Zbl 1444.42020
Bui, The Anh
2020
Two-dimensional Brownian random interlacements. Zbl 1453.60136
Comets, Francis; Popov, Serguei
2020
On the Cauchy problem for nondegenerate parabolic integro-differential equations in the scale of generalized Hölder spaces. Zbl 1447.35341
Mikulevičius, R.; Xu, Fanhui
2020
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### Cited by 6,668 Authors

 66 Chen, Zhen-Qing 59 Yang, Dachun 57 Kim, Panki 56 Song, Renming 47 Sawano, Yoshihiro 46 Nualart, David 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 15 Kyprianou, Andreas E. ...and 6,568 more Authors
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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 56 Electronic Journal of Probability 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 45 Journal of Statistical Physics 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 35 Applied Mathematics and Computation 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 31 Journal of Mathematical Sciences (New York) 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 29 Tôhoku Mathematical Journal. Second Series 27 Manuscripta Mathematica 26 Applicable Analysis 26 Computers & Mathematics with Applications 26 Acta Applicandae Mathematicae 25 Journal of the Mathematical Society of Japan 25 Zeitschrift für Analysis und ihre Anwendungen 25 Annales Academiae Scientiarum Fennicae. Mathematica 25 Revista Matemática Complutense 25 Boundary Value Problems 25 Banach Journal of Mathematical Analysis 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 20 Studia Mathematica 20 Czechoslovak Mathematical Journal 20 Illinois Journal of Mathematics 20 Monatshefte für Mathematik 20 Results in Mathematics 20 SIAM Journal on Control and Optimization 20 Advances in Calculus of Variations 20 Analysis & PDE 19 Collectanea Mathematica 19 Siberian Mathematical Journal 19 Fractals 19 Advances in Difference Equations 18 Israel Journal of Mathematics 18 Arkiv för Matematik 18 Chinese Annals of Mathematics. Series B ...and 488 more Journals
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### Cited in 58 Fields

 3,415 Probability theory and stochastic processes (60-XX) 3,186 Partial differential equations (35-XX) 1,110 Operator theory (47-XX) 1,065 Functional analysis (46-XX) 1,003 Potential theory (31-XX) 804 Harmonic analysis on Euclidean spaces (42-XX) 516 Global analysis, analysis on manifolds (58-XX) 451 Real functions (26-XX) 397 Functions of a complex variable (30-XX) 393 Measure and integration (28-XX) 393 Numerical analysis (65-XX) 360 Differential geometry (53-XX) 342 Calculus of variations and optimal control; optimization (49-XX) 233 Several complex variables and analytic spaces (32-XX) 227 Statistical mechanics, structure of matter (82-XX) 222 Ordinary differential equations (34-XX) 207 Quantum theory (81-XX) 202 Dynamical systems and ergodic theory (37-XX) 183 Fluid mechanics (76-XX) 161 Systems theory; control (93-XX) 144 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 137 Combinatorics (05-XX) 133 Abstract harmonic analysis (43-XX) 117 Integral equations (45-XX) 93 Topological groups, Lie groups (22-XX) 92 Statistics (62-XX) 88 Approximations and expansions (41-XX) 73 Special functions (33-XX) 66 Difference and functional equations (39-XX) 57 Biology and other natural sciences (92-XX) 55 Mechanics of deformable solids (74-XX) 49 Convex and discrete geometry (52-XX) 45 Number theory (11-XX) 39 Group theory and generalizations (20-XX) 34 Integral transforms, operational calculus (44-XX) 31 Computer science (68-XX) 30 Information and communication theory, circuits (94-XX) 28 General topology (54-XX) 23 Optics, electromagnetic theory (78-XX) 22 Mechanics of particles and systems (70-XX) 22 Operations research, mathematical programming (90-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Geometry (51-XX) 14 Manifolds and cell complexes (57-XX) 11 Geophysics (86-XX) 9 Algebraic topology (55-XX) 8 Algebraic geometry (14-XX) 7 Nonassociative rings and algebras (17-XX) 7 Relativity and gravitational theory (83-XX) 6 General and overarching topics; collections (00-XX) 6 Mathematical logic and foundations (03-XX) 5 Sequences, series, summability (40-XX) 4 Field theory and polynomials (12-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 1 Astronomy and astrophysics (85-XX)