Riesz potential and maximal function for Dunkl transform
Classical Analysis and ODEs
2017-09-01 v1
Abstract
We study weighted -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 estimate. We find a sharp constant in the weighted -inequality, generalizing the results of W. Beckner and S. Samko.
Cite
@article{arxiv.1708.09733,
title = {Riesz potential and maximal function for Dunkl transform},
author = {D. V. Gorbachev and V. I. Ivanov and S. Yu. Tikhonov},
journal= {arXiv preprint arXiv:1708.09733},
year = {2017}
}
Comments
25 pages