Journal of Lie Theory

no. 4
Riesz Potentials and Fractional Maximal Function for the Dunkl Transform
Sallam Hassani1; Sami Mustapha2; Mohamed Sifi1
1University of Tunis El Manar, Faculty of Sciences, Dept. of Mathematics, 2092 Tunis, Tunisia
2Institut Mathématiques de Jussieu, 175 Rue de Chevaleret, 75013 Paris, France
Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 725-734
We investigate the $L^p \rightarrow L^q$ boundedness properties of the Riesz potentials $I_{\alpha}^{\kappa}$ and the related fractional maximal function $M_{\kappa,\alpha}$ associated to the Dunkl transform.
DOI: 10.5802/jolt.577
Classification: 33C52, 43A32, 33C80, 22E30
Keywords: Riesz potentials, Fractional maximal function

Sallam Hassani  1 ; Sami Mustapha  2 ; Mohamed Sifi  1

1 University of Tunis El Manar, Faculty of Sciences, Dept. of Mathematics, 2092 Tunis, Tunisia
2 Institut Mathématiques de Jussieu, 175 Rue de Chevaleret, 75013 Paris, France 
Sallam Hassani; Sami Mustapha; Mohamed Sifi. Riesz Potentials and Fractional Maximal Function for the Dunkl Transform. Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 725-734. doi: 10.5802/jolt.577
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     title = {Riesz {Potentials} and {Fractional} {Maximal} {Function} for the {Dunkl} {Transform}},
     journal = {Journal of Lie Theory},
     pages = {725--734},
     year = {2009},
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     number = {4},
     doi = {10.5802/jolt.577},
     zbl = {1183.33022},
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