The Hardy space H1 in the rational Dunkl setting
Classical Analysis and ODEs
2013-09-26 v2
Abstract
This paper consists in a first study of the Hardy space H1 in the rational Dunkl setting. Following Uchiyama's approach, we characterizee H1 atomically and by means of the heat maximal operator. We also obtain a Fourier multiplier theorem for H1. These results are proved here in the one-dimensional case and in the product case.
Keywords
Cite
@article{arxiv.1309.5567,
title = {The Hardy space H1 in the rational Dunkl setting},
author = {Jean-Philippe Anker and Néjib Ben Salem and Jacek Dziubanski and Nabila Hamda},
journal= {arXiv preprint arXiv:1309.5567},
year = {2013}
}