Riesz transforms for Dunkl transform

Amri, Bechir; Sifi, Mohamed

doi:10.5802/ambp.312

Riesz transforms for Dunkl transform
[Transformées de Riesz associés à la transformée de Dunkl]

Amri, Bechir ¹ ; Sifi, Mohamed ²

¹ Department of Mathematics University of Tunis Preparatory Institute of Engineer Studies of Tunis 1089 Montfleury, Tunis, Tunisia
² Department of Mathematics University of Tunis El Manar Faculty of Sciences of Tunis 2092 Tunis El Manar, Tunis, Tunisia

Annales mathématiques Blaise Pascal, Tome 19 (2012) no. 1, pp. 247-262.

Résumé
Abstract

Dans cet article, nous étudions la bornitude des transformées de Riesz associées à la transformée de Dunkl sur les espaces $L^{p}$ , $1 < p < \infty$ .

In this paper we obtain the $L^{p}$ -boundedness of Riesz transforms for the Dunkl transform for all $1 < p < \infty$ .

DOI : 10.5802/ambp.312

Classification : 17B22, 32A55, 43A32, 42A45
Mots-clés : Dunkl transforms, Riesz Transforms, Singular integrals

Affiliations des auteurs :

Amri, Bechir ¹ ; Sifi, Mohamed ²

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Amri, Bechir; Sifi, Mohamed. Riesz transforms for Dunkl transform. Annales mathématiques Blaise Pascal, Tome 19 (2012) no. 1, pp. 247-262. doi : 10.5802/ambp.312. https://www.numdam.org/articles/10.5802/ambp.312/

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