On the structure of the domain of a symmetric jump-type Dirichlet form

DOI10.2977/PRIMS/58zbMath1241.31013OpenAlexW2085131458MaRDI QIDQ409054

Toshihiro Uemura, Rene L. Schilling

Publication date: 12 April 2012

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/58

zbMATH Keywords

jump-type Dirichlet formlocally shift-bounded kernelSilverstein extension

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dirichlet forms (31C25) Probabilistic potential theory (60J45)

Related Items (8)

Weighted Poincaré inequalities for non-local Dirichlet forms ⋮ Markov chain approximation of pure jump processes ⋮ Heat kernel estimates for symmetric jump processes with anisotropic jumping kernels ⋮ On-diagonal heat kernel estimates for Schrödinger semigroups and their application ⋮ Fractional Laplacian with Hardy potential ⋮ Heat kernel estimates for symmetric jump processes with mixed polynomial growths ⋮ Estimates of Dirichlet heat kernel for symmetric Markov processes ⋮ A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms

Cites Work

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• Dirichlet forms and symmetric Markov processes.
• On unique extension of time changed reflecting Brownian motions
• On reflected Dirichlet spaces
• Uniqueness of generalized Schrödinger operators. II
• Reflected Dirichlet forms and the uniqueness of Silverstein's extension
• On uniqueness problem for local Dirichlet forms
• Censored stable processes

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