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arXiv 2013-09-22 0 views

The Hardy space H1 in the rational Dunkl setting

Anker, Jean-Philippe · Salem, Néjib Ben · Dziubanski, Jacek · Hamda, Nabila

Original · EN

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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