Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator
- Stempak, Krzysztof
- Roncal Gómez, Luz
- Nowak, Adam
ISSN: 0010-1354
Argitalpen urtea: 2010
Alea: 118
Zenbakia: 2
Orrialdeak: 669-684
Mota: Artikulua
Beste argitalpen batzuk: Colloquium Mathematicum
Laburpena
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<∞