Uniwersytet Wroclawski (Uniwersytet Wrocławski, ul. F. Joliot-Curie 14, 50-383 Wrocław, Poland - Poland)
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 Contributor : Jean-Philippe AnkerConnect 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
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⟩