Abstract
We study weighted (Lp, Lq)-boundedness properties of Riesz potentials and fractional maximal functions for the Dunkl transform. In particular, we obtain the weighted Hardy–Littlewood–Sobolev type inequality and weighted week (L1, Lq) estimate. We find a sharp constant in the weighted Lp-inequality, generalizing the results of W. Beckner and S. Samko.
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