Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator
Adam Nowak ; Luz Roncal ; Krzysztof Stempak
Colloquium Mathematicae, Tome 120 (2010), p. 669-684 / Harvested from The Polish Digital Mathematics Library
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We propose a definition of Riesz transforms associated to the Ornstein-Uhlenbeck operator based on the Dunkl Laplacian. In the case related to the group ℤ ₂ it is proved that the Riesz transform is bounded on the corresponding Lp spaces, 1 < p < ∞.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:284210 
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Adam Nowak; Luz Roncal; Krzysztof Stempak. Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator. Colloquium Mathematicae, Tome 120 (2010) pp. 669-684. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-2-19/