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arxiv: math/0412037 · v1 · submitted 2004-12-01 · 🧮 math.CA

Riesz transform and Riesz potentials for Dunkl transform

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keywords riesztransformdunklpotentialsanalogousassociatedboundednesscases
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Analogous of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weighted functions that are invariant under a reflection group. The $L^p$ boundedness of these operators is established in certain cases.

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