✦ LIBER ✦

Generalized Ornstein–Uhlenbeck Semigroups: Littlewood–Paley–Stein Inequalities and the P. A. Meyer Equivalence of Norms

✍ Scribed by Anna Chojnowska-Michalik; Beniamin Goldys

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 253 KB
Volume: 182
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2000.3722

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✦ Synopsis

Let + be a nondegenerate Gaussian measure on a Hilbert space H. For an arbitrary selfadjoint nonnegative operator A we consider the semigroup e tL = 1(e &tA ) on L p (+), where 1 stands for the second quantization operator. We provide an explicit characterization of the domains of (I&L) mÂ2 in L p (+) in terms of Gaussian Sobolev spaces thus extending the P. A.