On the equivalence between trace and capacitary inequalities for the abstract contractive space of Bessel potentials

zbMath1071.31003MaRDI QIDQ1775252

Ali Ben Amor

Publication date: 6 May 2005

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

compact embeddingscapacity estimates\((r,p)\)-capacitiesabstract Bessel potential spaces

Mathematics Subject Classification ID

Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Probabilistic potential theory (60J45) Potentials and capacities on other spaces (31C15) Other generalizations (nonlinear potential theory, etc.) (31C45)

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Sobolev-Orlicz inequalities, ultracontractivity and spectra of time changed Dirichlet forms

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