Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-00864457
Contributor : Jean-Philippe Anker <>
Submitted on : Saturday, September 21, 2013 - 5:03:49 PM
Last modification on : Wednesday, October 28, 2020 - 9:52:03 AM
Long-term archiving on: : Sunday, December 22, 2013 - 4:21:15 AM

Files

DunklHardy_Sep2013.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

285

Files downloads

395