Function spaces related to continuous negative definite functions: ψ-Bessel potential spaces

DOI10.4064/dm393-0-1zbMath0990.46018OpenAlexW2082158966MaRDI QIDQ2760590

Walter Farkas, Rene L. Schilling, Niels Jacob

Publication date: 13 December 2001

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/dm393-0-1

zbMATH Keywords

infinitesimal generator convolution semigroup interpolation of operators Dirichlet spaces complex interpolation subordination in the sense of Bochner sub-probability measures $(r,p)$-capacities submarkovian semigroup $L^p$ potential theory anisotropic Bessel potential spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Probabilistic potential theory (60J45) Harmonic analysis in several variables (42B99) Abstract interpolation of topological vector spaces (46M35) Integral, integro-differential, and pseudodifferential operators (47G99) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

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