Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces

Details Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces

2008-04-09

arxiv.org/abs/0804.1432v3

Mathematics

Functional Analysis

54 pages, submitted for publication. Minor corrections

Scientific paper

Let (E,H,mu) be an abstract Wiener space and let D_V := VD, where D denotes the Malliavin derivative and V is a closed and densely defined operator from H into another Hilbert space G. Given a bounded operator B on G, coercive on the closure of the range of V, we consider the realisation of the operator D_V* B D_V in L^p(E,mu) for 1

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