Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator
- Stempak, Krzysztof
- Roncal Gómez, Luz
- Nowak, Adam
ISSN: 0010-1354
Ano de publicación: 2010
Volume: 118
Número: 2
Páxinas: 669-684
Tipo: Artigo
Outras publicacións en: Colloquium Mathematicum
Resumo
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<∞