Besov-Type Spaces on $R^d$ and Integrability for the Dunkl Transform
Classical Analysis and ODEs
2009-02-17 v1 Functional Analysis
Abstract
In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution. Finally, we establish further results concerning integrability of the Dunkl transform of function in a suitable Besov-Dunkl space.
Cite
@article{arxiv.0902.2765,
title = {Besov-Type Spaces on $R^d$ and Integrability for the Dunkl Transform},
author = {Chokri Abdelkefi and Jean-Philippe Anker and Feriel Sassi and Mohamed Sifi},
journal= {arXiv preprint arXiv:0902.2765},
year = {2009}
}