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Hardy-Stein identities and Littlewood-Paley inequalities in a polydisc

✍ Scribed by Karen L. Avetisyan; Romi F. Shamoyan

Book ID
111505819
Publisher
Allerton Press, Inc.
Year
2007
Tongue
English
Weight
627 KB
Volume
42
Category
Article
ISSN
1068-3623

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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 (