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, Tome 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.
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, Tome 19 (2009) no. 4, pp. 725-734. http://geodesic.mathdoc.fr/item/JOLT_2009_19_4_a5/
@article{JOLT_2009_19_4_a5,
author = {Sallam Hassani and Sami Mustapha and Mohamed Sifi},
title = {Riesz {Potentials} and {Fractional} {Maximal} {Function} for the {Dunkl} {Transform}},
journal = {Journal of Lie Theory},
pages = {725--734},
year = {2009},
volume = {19},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2009_19_4_a5/}
}
TY - JOUR
AU - Sallam Hassani
AU - Sami Mustapha
AU - Mohamed Sifi
TI - Riesz Potentials and Fractional Maximal Function for the Dunkl Transform
JO - Journal of Lie Theory
PY - 2009
SP - 725
EP - 734
VL - 19
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2009_19_4_a5/
ID - JOLT_2009_19_4_a5
ER -
%0 Journal Article
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%A Mohamed Sifi
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%J Journal of Lie Theory
%D 2009
%P 725-734
%V 19
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2009_19_4_a5/
%F JOLT_2009_19_4_a5