International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 204509, 17 pages
doi:10.1155/2010/204509
Research Article

Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting

A. Gasmi and F. Soltani

Department of Mathematics, Faculty of Sciences of Tunis, University of EL-Manar, Tunis 2092, Tunisia

Received 12 February 2010; Accepted 20 October 2010

Academic Editor: Ricardo Estrada

Copyright © 2010 A. Gasmi and F. Soltani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the Dunkl convolution operators on Herz-type Hardy spaces ℋ 𝑝 𝛼 , 2 and we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spaces ℋ 𝑝 𝛼 , ∞ .