Towards an \(L^p\) potential theory for sub-Markovian semigroups: kernels and capacities

DOI10.1007/s10114-005-0758-3zbMath1104.31007OpenAlexW2055522196MaRDI QIDQ2508647

Niels Jacob, Rene L. Schilling

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0758-3

zbMATH Keywords

nonlinear potential theoryBessel potential spacesub-Markovian semigroup\((r, p)\)-capacitiygamma-transform

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Positive linear operators and order-bounded operators (47B65) Potentials and capacities on other spaces (31C15) Transition functions, generators and resolvents (60J35) Other generalizations (nonlinear potential theory, etc.) (31C45) Kernel operators (47B34)

Related Items (12)

Distribution-dependent stochastic porous media equations ⋮ Besov space and trace theorem on a local field and its application ⋮ Sub-Markovian \(C _{0}\)-semigroups generated by fractional Laplacian with gradient perturbation ⋮ STRONG FELLER CONTINUITY OF FELLER PROCESSES AND SEMIGROUPS ⋮ Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators ⋮ Note on basic features of large time behaviour of heat kernels ⋮ On characteristics of the range of kernel operators ⋮ Extended L p Dirichlet Spaces ⋮ Lévy processes and Fourier multipliers ⋮ A new approach to the existence of invariant measures for Markovian semigroups ⋮ Convolution operators on weighted spaces of continuous functions and supremal convolution ⋮ On the decomposition principle and a Persson type theorem for general regular Dirichlet forms

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