Weighted Lp-Inequalities for the Dunkl Transform

We give, for 1<p≤2, weighted Lp-inequalities for the Dunkl transform, using, respectively, the modulus of continuity of radial functions and the Dunkl convolution in the general case. As application, we obtain, in particular, the integrability of this transform on Besov-Lipschitz spaces.

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Bibliographic Details
Main Authors: Chokri Abdelkefi, Faten Rached
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/702151
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