%0 Journal Article
%T Some properties of the Riesz potentials in Dunkl analysis
%A Chokri Abdelkefi
%A Mongi Rachdi
%J Mathematics
%D 2013
%I arXiv
%X In Dunkl theory on Rd which generalizes classical Fourier analysis, we study first the behavior at infinity of the Riesz potential of a non compactly supported function. Second, we give for 1<p<=q<infinite, weighted (Lp,Lq) boundedness of the Riesz potentials with sufficient conditions. As application, we prove a weighted generalized Sobolev inequality.
%U http://arxiv.org/abs/1311.0400v4