Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator
Adam Nowak, Luz Roncal, Krzysztof Stempak (2010)
Colloquium Mathematicae
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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 spaces, 1 < p < ∞.