Journal of Lie Theory 22 (2012), No. 3, 723--739
Copyright Heldermann Verlag 2012
Singular Integral Operators in Dunkl Setting
Béchir Amri
University of Tunis, Preparatory Institute of Engineering Studies, Department of Mathematics, 1089 Montfleury Tunis, Tunisia
bechir.amri@ipeit.rnu.tn
Mohamed Sifi
University of Tunis El Manar, Faculty of Sciences, Department of Mathematics, 2092 Tunis, Tunisia
mohamed.sifi@fst.rnu.tn
We present a new approach to vector-valued singular integrals, which allows us to obtain the Lp-estimates for vector valued Dunkl-maximal functions and analogue of the Littlewood-Paley g-function.
Keywords: Singular integrals, Dunkl operators, Dunkl-maximal functions, Littlewood-Paley g-function.
MSC: 42B20, 43A32, 42B25
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