Some boundedness properties of certain stationary diffusion semigroups

DOI10.1016/0022-1236(85)90052-7zbMath0562.60078OpenAlexW2014267003MaRDI QIDQ1056998

Daniel W. Stroock, Shigeo Kusuoka

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90052-7

zbMATH Keywords

Malliavin calculusconservative diffusion semigrouphypoelliptic smooth diffusion operator

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35)

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Differentiability of Markov semigroups for stochastic reaction-diffusion equations and applications to control, Hypercontractivity for perturbed diffusion semigroups, On the connection between Schrödinger and Dirichlet forms, Long time behavior of Markov processes, Random walks on graphs, electric networks and fractals, Functional inequalities for empty essential spectrum, Mass transport and variants of the logarithmic Sobolev inequality, Hypercontractivity properties of nonsymmetric ornstein-uhlenbeck semigroups in hilbert spaces, Hypercontractivity Estimates for Nonselfadjoint Diffusion Semigroups, Lyapunov conditions for super Poincaré inequalities, Differentiable measures and the Malliavin calculus, Intrinsic ultracontractivity of Dirichlet Laplacians in non-smooth domains

Cites Work

• Boson fields with nonlinear selfinteraction in two dimensions
• Asymptotic evaluation of certain markov process expectations for large time, I
• An introduction to the theory of large deviations
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