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Author Mauceri, G. ♦ Meda, S. ♦ Sjögren, P.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2010-02-05
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Functional Analysis ♦ 42B20 ♦ 42B30 ♦ math
Abstract In the setting of Euclidean space with the Gaussian measure g, we consider all first-order Riesz transforms associated to the infinitesimal generator of the Ornstein-Uhlenbeck semigroup. These operators are known to be bounded on L^p(g), for 1<p<\infty. We determine which of them are bounded from H^1(g) to L^1(g) and from L^\infty(g) to BMO(g). Here H^1(g) and BMO(g) are the spaces introduced in this setting by the first two authors. Surprisingly, we find that the results depend on the dimension of the ambient space.
Educational Use Research
Learning Resource Type Article
Page Count 12


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