Extended L p Dirichlet Spaces

DOI10.1007/978-1-4419-1341-8_9zbMath1189.31012OpenAlexW19263809MaRDI QIDQ5188032

Rene L. Schilling, Niels Jacob

Publication date: 10 March 2010

Published in: International Mathematical Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-1341-8_9

zbMATH Keywords

capacityBessel potential spacesextended Dirichlet spaces\(L^p\)-potential theory

Mathematics Subject Classification ID

Dirichlet forms (31C25) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (1)

A note on the trace theorem for Besov-type spaces of generalized smoothness on d-sets

Cites Work

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• On (r,p)-capacities for Markov processes
• Symmetric Markov processes
• Some Dirichlet spaces obtained by subordinate reflected diffusions
• Dirichlet forms and symmetric Markov processes
• Towards an \(L^p\)-potential theory for sub-Markovian semigroups: variational inequalities and balayage theory
• On a Poincaré-type inequality for energy forms in \(L^p\)
• Towards an \(L^p\) potential theory for sub-Markovian semigroups: kernels and capacities
• Function spaces related to continuous negative definite functions: ψ-Bessel potential spaces
• DIRICHLET SPACES
• Feller semigroups, Lp -sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Dirichlet Spaces and Strong Markov Processes

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