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The Hardy space H1 in the rational Dunkl setting

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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https://hal.archives-ouvertes.fr/hal-00864457
Contributor : Jean-Philippe Anker Connect in order to contact the contributor
Submitted on : Saturday, September 21, 2013 - 5:03:49 PM
Last modification on : Tuesday, October 12, 2021 - 5:20:12 PM
Long-term archiving on: : Sunday, December 22, 2013 - 4:21:15 AM

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Jean-Philippe Anker, Néjib Ben Salem, Jacek Dziubanski, Nabila Hamda. The Hardy space H1 in the rational Dunkl setting. Constructive Approximation, Springer Verlag, 2015, 42, pp.93-128. ⟨10.1007/s00365-014-9254-2⟩. ⟨hal-00864457⟩

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