The Hardy space H1 in the rational Dunkl setting

2013/09/22 by Anker, Jean-Philippe, Salem, Néjib Ben, Dziubanski, Jacek +1
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1309.5567

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.

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