On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions

DOI10.1007/s00013-007-2082-xzbMath1137.47032OpenAlexW2098329585MaRDI QIDQ2458395

Jan Maas, J. M. A. M. van Neerven

Publication date: 31 October 2007

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: http://resolver.tudelft.nl/uuid:c2cc3bd8-822b-4e72-ae42-1da0424e8a22

zbMATH Keywords

sector of analyticityOrnstein-Uhlenbeck semigroupselliptic operators in divergence form

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) PDEs with randomness, stochastic partial differential equations (35R60) Transition functions, generators and resolvents (60J35)

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Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators ⋮ Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions ⋮ \(L ^{2}\)-theory for non-symmetric Ornstein-Uhlenbeck semigroups on domains ⋮ Analyticity of nonsymmetric Ornstein-Uhlenbeck semigroup with respect to a weighted Gaussian measure ⋮ Lévy-Ornstein-Uhlenbeck transition semigroup as second quantized operator ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces ⋮ On the domain of non-symmetric and, possibly, degenerate Ornstein-Uhlenbeck operators in separable Banach spaces ⋮ Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite-dimensional convex domains

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