Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593015 | Journal of Functional Analysis | 2006 | 14 Pages |
Abstract
Let γ be the Gaussian measure in Rd and Ht, t>0, the corresponding Ornstein–Uhlenbeck semigroup, whose infinitesimal generator is . For each p with 1
2 this operator is of weak type but not of strong type (p,p) for γ. However, if a neighbourhood of the origin is deleted from Ep in the definition of , the resulting operator is shown to be of strong type.
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