--- res: bibo_abstract: - Let P be the Ornstein-Uhlenbeck semigroup associated with the stochastic Cauchy problem dU(t)=AU(t)dt+dWH(t), where A is the generator of a C 0-semigroup S on a Banach space E, H is a Hilbert subspace of E, and W H is an H-cylindrical Brownian motion. Assuming that S restricts to a C 0-semigroup on H, we obtain L p -bounds for D H P(t). We show that if P is analytic, then the invariance assumption is fulfilled. As an application we determine the L p -domain of the generator of P explicitly in the case where S restricts to a C 0-semigroup on H which is similar to an analytic contraction semigroup. The results are applied to the 1D stochastic heat equation driven by additive space-time white noise.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Jan foaf_name: Jan Maas foaf_surname: Maas foaf_workInfoHomepage: http://www.librecat.org/personId=4C5696CE-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-0845-1338 - foaf_Person: foaf_givenName: Jan foaf_name: Van Neerven, Jan foaf_surname: Van Neerven bibo_doi: 10.1007/978-3-0348-0075-4_24 bibo_volume: 80 dct_date: 2011^xs_gYear dct_publisher: Birkhäuser@ dct_title: Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators@ ...