Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator

  1. Stempak, Krzysztof
  2. Roncal Gómez, Luz
  3. Nowak, Adam
Aldizkaria:
Colloquium Mathematicum

ISSN: 0010-1354

Argitalpen urtea: 2010

Alea: 118

Zenbakia: 2

Orrialdeak: 669-684

Mota: Artikulua

DOI: 10.4064/CM118-2-19 WoS: WOS:000294921100019 GOOGLE SCHOLAR

Beste argitalpen batzuk: Colloquium Mathematicum

Lotura duten proiektuak

Ortogonalidad y aproximación: teoría y aplciaciones físicas y clínicas

2006/00095/001

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<∞