Geodesic
Riesz Potentials and Fractional Maximal Function for the Dunkl Transform
Journal of Lie theory, Tome 19 (2009) no. 4, pp. 725-734.

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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.
Classification : 33C52, 43A32, 33C80, 22E30
Mots-clés : Riesz potentials, Fractional maximal function 
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     author = {S. Hassani and S. Mustapha and M. Sifi },
     title = {Riesz {Potentials} and {Fractional} {Maximal} {Function} for the {Dunkl} {Transform}},
     journal = {Journal of Lie theory},
     pages = {725--734},
     publisher = {mathdoc},
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     number = {4},
     year = {2009},
     url = {http://geodesic.mathdoc.fr/item/JLT_2009_19_4_JLT_2009_19_4_a5/}
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S. Hassani; S. Mustapha; M. Sifi . Riesz Potentials and Fractional Maximal Function for the Dunkl Transform. Journal of Lie theory, Tome 19 (2009) no. 4, pp. 725-734. http://geodesic.mathdoc.fr/item/JLT_2009_19_4_JLT_2009_19_4_a5/