Abstract
AbstractLet Δ and be the Dunkl Laplacian and the Dunkl harmonic oscillator respectively. We define the Hardy space associated with the Dunkl harmonic oscillator by means of the nontangential maximal function with respect to the semigroup . We prove that the space admits characterizations by relevant Riesz transforms and atomic decompositions. The atoms which occur in the atomic decompositions are of local type.
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