Two results on the Dunkl maximal operator

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Dunkl Translation and Uncentered Maximal Operator on the Real Line

On the real line, the Dunkl operators are differential-difference operators introduced in 1989 by Dunkl [1] and are denoted by Λα, where α is a real parameter > −1/2. These operators are associated with the reflection group Z2 on R. The Dunkl kernel Eα is used to define the Dunkl transform α which was introduced by Dunkl in [2]. Rösler in [3] shows that the Dunkl kernels verify a product formul...

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ژورنال

عنوان ژورنال: Studia Mathematica

سال: 2011

ISSN: 0039-3223,1730-6337

DOI: 10.4064/sm203-1-3