The L p -Poincaré Inequality for Analytic Ornstein–Uhlenbeck Semigroups

DOI10.1007/978-3-319-18494-4_23zbMath1341.47057arXiv1402.3185OpenAlexW2490723588MaRDI QIDQ2801700

J. M. A. M. van Neerven

Publication date: 21 April 2016

Published in: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3185

zbMATH Keywords

Poincaré inequalitycompact resolventjoint functional calculusanalytic Ornstein-Uhlenbeck semigroups

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) PDEs with randomness, stochastic partial differential equations (35R60) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (3)

On the equivalence of Sobolev norms in Malliavin spaces ⋮ Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions ⋮ On generators of transition semigroups associated to semilinear stochastic partial differential equations

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