Hypercontractivity properties of nonsymmetric ornstein-uhlenbeck semigroups in hilbert spaces

DOI10.1080/07362999808809531zbMath0912.47021OpenAlexW2149231131MaRDI QIDQ4395791

Marco Fuhrman

Publication date: 3 May 1999

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362999808809531

zbMATH Keywords

logarithmic Sobolev inequalitieshypercontractivityprobabilistic argumentsconvergence at infinitynonsymmetric Ornstein-Uhlenbeck semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Markov semigroups and applications to diffusion processes (47D07)

Related Items (6)

Asymptotics of the entropy production rate for \(d\)-dimensional Ornstein-Uhlenbeck processes ⋮ Harnack and functional inequalities for generalized Mehler semigroups. ⋮ On the rates of decay to equilibrium in degenerate and defective Fokker-Planck equations ⋮ Logarithmic derivatives of invariant measure for stochastic differential equations in hilbert spaces ⋮ Lévy-Ornstein-Uhlenbeck transition semigroup as second quantized operator ⋮ Ornstein–Uhlenbeck operators and semigroups

Cites Work

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• Nonsymmetric Ornstein-Uhlenbeck semigroup as second quantized operator
• Some boundedness properties of certain stationary diffusion semigroups
• How violent are fast controls?
• Generalized Mehler semigroups and applications
• Logarithmic Sobolev Inequalities
• Regularity of.the heat semigroup generated by certain operators on a hilbert space

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