Annales Mathématiques
Blaise Pascal
no. 1
Riesz transforms for Dunkl transform
[Transformées de Riesz associés à la transformée de Dunkl]
Bechir Amri1 ; Mohamed Sifi2
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.

Dans cet article, nous étudions la bornitude des transformées de Riesz associées à la transformée de Dunkl sur les espaces L p , 1<p<∞.

In this paper we obtain the L p -boundedness of Riesz transforms for the Dunkl transform for all 1<p<∞.

DOI : 10.5802/ambp.312
Classification : 17B22, 32A55, 43A32, 42A45
Mots clés : Dunkl transforms, Riesz Transforms, Singular integrals

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

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