Riesz transform for Dunkl Hermite expansion

Details Riesz transform for Dunkl Hermite expansion Riesz transform for Dunkl Hermite expansion

2012-01-05

arxiv.org/abs/1201.1209v1

Mathematics

Classical Analysis and ODEs

13 pages

Scientific paper

In the present paper, we establish that Riesz transforms for Dunkl Hermite
expansion as introduced in [4] are singular integral operators with
H\"ormander's type conditions and we show that are bounded on
$L^p(\mathbb{R}^d; d\mu_k) 1 < p < 1.

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