An invariance result for capacities on Wiener space

DOI10.1016/0022-1236(92)90061-MzbMath0786.31008OpenAlexW1974622204MaRDI QIDQ1187987

Wolfhard Hansen, Masatoshi Fukushima, Zhi-Ming Ma, Michael Roeckner, Sergio A. Albeverio

Publication date: 3 August 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90061-m

zbMATH Keywords

Malliavin calculuscapacities of Ornstein-Uhlenbeck semigroups with linear drift on abstract Wiener spacestight capacities

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Probabilistic potential theory (60J45) Stochastic calculus of variations and the Malliavin calculus (60H07) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Potentials and capacities on other spaces (31C15)

Related Items (8)

Sobolev spaces of Banach-valued functions associated with a Markov process ⋮ Capacities, removable sets and \(L^p\)-uniqueness on Wiener spaces ⋮ Large deviation principle for fractional Brownian motion with respect to capacity ⋮ Gaussian measures on linear spaces ⋮ An application of (r,2)-capacities to pseudo differential operators ⋮ Asymptotic expansions for ornstein-uhlenbeck semigroups perturbed by potentials over banach spaces ⋮ Differentiable measures and the Malliavin calculus ⋮ Gaussian linear operators

Cites Work

• On (r,p)-capacities for Markov processes
• Traces of harmonic functions and a new path space for the free quantum field
• Gaussian capacities
• Tightness of general \(C_{1,p}\) capacities on Banach space
• Gaussian measures in Banach spaces
• Positive generalized Wiener functions and potential theory over abstract Wiener spaces
• Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
• A note on Tightness of Capacities Associated with Dirichlet Forms
• An introduction to the theory of large deviations
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