Geodesic
Dunkl Operators on Rd and Uncentered Maximal Function
Chokri Abdelkefi1
1University of Tunis, Preparatory Institute of Engineering Studies, Department of Mathematics, 1089 Monfleury-Tunis, Tunisia
Journal of Lie Theory, Tome 20 (2010) no. 1, pp. 113-125

Voir la notice de l'article provenant de la source Heldermann Verlag

We consider Dunkl theory on Rd associated to a finite reflection group G. We establish first an estimate for the Dunkl translation of the characteristic function of a closed ball with radius ε > 0 centered at 0. Second, we prove that the uncentered maximal function associated with the Dunkl operators is of weak-type (1, 1). We finally obtain that it is strong-type (p, p) for 1 p ≤ +∞.
Classification : 42B10, 42B25, 44A15, 44A35
Mots-clés : Dunkl operators, Dunkl transform, Dunkl translations, uncentered maximal function

Chokri Abdelkefi  1

1 University of Tunis, Preparatory Institute of Engineering Studies, Department of Mathematics, 1089 Monfleury-Tunis, Tunisia 
Chokri Abdelkefi. Dunkl Operators on Rd and Uncentered Maximal Function. Journal of Lie Theory, Tome 20 (2010) no. 1, pp. 113-125. http://geodesic.mathdoc.fr/item/JOLT_2010_20_1_a7/
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     author = {Chokri Abdelkefi},
     title = {Dunkl {Operators} on {R\protect\textsuperscript{d}} and {Uncentered} {Maximal} {Function}},
     journal = {Journal of Lie Theory},
     pages = {113--125},
     year = {2010},
     volume = {20},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2010_20_1_a7/}
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