Sobolev spaces of Banach-valued functions associated with a Markov process
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Publication:1333577
DOI10.1007/BF01199900zbMath0801.60044OpenAlexW2004300725MaRDI QIDQ1333577
Publication date: 21 November 1994
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01199900
Sobolev spacesMalliavin calculusOrnstein-Uhlenbeck processWiener spacegamma transform of a semigroup
Related Items (13)
Quasi-sure analysis of two-parameter stochastic differential equations ⋮ Regularity of local times of random fields ⋮ Random fields and the geometry of Wiener space ⋮ Quasi-sure flows associated with vector fields of low regularity ⋮ Small-time Gaussian behavior of symmetric diffusion semigroups ⋮ Quasi sure analysis of local times of anticipating smooth semimartingales ⋮ The divergence of Banach space valued random variables on Wiener space ⋮ Differential calculus on path and loop spaces. II: Irreducibility of Dirichlet forms on loop spaces ⋮ Malliavin calculus and decoupling inequalities in Banach spaces ⋮ Flows associated to tangent processes on the Wiener space ⋮ The Clark-Ocone formula for vector valued Wiener functionals ⋮ The quasi-sure uniqueness of solutions for differential equations on Wiener space ⋮ Large deviations for stochastic flows and their applications
Cites Work
- On (r,p)-capacities for Markov processes
- Espaces de Sobolev gaussiens. (Gaussian Sobolev spaces)
- Gaussian capacities
- An invariance result for capacities on Wiener space
- Positive generalized Wiener functions and potential theory over abstract Wiener spaces
- Quasi sure analysis of stochastic flows and Banach space valued smooth functionals on the Wiener space
- (r, p)-Capacity on the Wiener space and properties of Brownian motion
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