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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

Mohamed Sifi
University of Tunis El Manar, Faculty of Sciences, Department of Mathematics, 2092 Tunis, Tunisia

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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