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An example of regular \((r,p)\)-capacity and essential self-adjointness of a diffusion operator in infinite dimensions

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Publication:1911571
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DOI10.1215/kjm/1250518653zbMath0855.31005OpenAlexW1602076154MaRDI QIDQ1911571

Ichiro Shigekawa

Publication date: 3 February 1997

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518653


zbMATH Keywords

capacityDirichlet formscontraction semigroupdriftGamma transformstandard Ornstein-Uhlenbeck processsymmetric Markovian semigroup


Mathematics Subject Classification ID

Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60)


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Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach ⋮ A NOTE ON THE ESSENTIAL SELF-ADJOINTNESS OF ORNSTEIN–UHLENBECK OPERATORS PERTURBED BY A DISSIPATIVE DRIFT AND A POTENTIAL ⋮ Unnamed Item ⋮ Capacities, removable sets and \(L^p\)-uniqueness on Wiener spaces ⋮ An approximate criterium of essential self-adjointness of Dirichlet operators



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