arXiv Analytics

Sign in

arXiv:0902.2765 [math.CA]AbstractReferencesReviewsResources

Besov-Type Spaces on $R^d$ and Integrability for the Dunkl Transform

Chokri Abdelkefi, Jean-Philippe Anker, Feriel Sassi, Mohamed Sifi

Published 2009-02-16Version 1

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.

Journal: SIGMA 5 (2009), 019, 15 pages
Categories: math.CA, math.FA
Related articles: Most relevant | Search more
arXiv:1808.09583 [math.CA] (Published 2018-08-28)
Regularity Properties of the Haar System with Respect to Besov-type Spaces
arXiv:math/0404439 [math.CA] (Published 2004-04-23, updated 2005-06-24)
Paley-Wiener theorems for the Dunkl transform
arXiv:1310.8502 [math.CA] (Published 2013-10-30)
A Fractional Power for Dunkl Transforms in $ L^{2}(\R^{N}, ω_{k}(x)dx)$

Links

Toolbox