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.
https://hal.archives-ouvertes.fr/hal-00864457
Contributeur : Jean-Philippe Anker
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Soumis le : samedi 21 septembre 2013 - 17:03:49
Dernière modification le : mardi 18 septembre 2018 - 09:38:32
Document(s) archivé(s) le : dimanche 22 décembre 2013 - 04:21:15
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〉
