Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator
- Stempak, Krzysztof
- Roncal Gómez, Luz
- Nowak, Adam
ISSN: 0010-1354
Année de publication: 2010
Volumen: 118
Número: 2
Pages: 669-684
Type: Article
D'autres publications dans: Colloquium Mathematicum
Projets liés
Résumé
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 Z2 it is proved that the Riesz transform is bounded on the corresponding Lp spaces, 1<p<∞