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  Volume 8, Issue 3, Article 73
 
Characterization of Besov Spaces for the Dunkl Operator on the Real Line

    Authors: Chokri Abdelkefi, Mohamed Sifi,  
    Keywords: Dunkl operators, Dunkl transform, Dunkl translation operators, Dunkl convolution, Besov-Dunkl spaces.  
    Date Received: 07/02/07  
    Date Accepted: 28/08/07  
    Subject Codes:

46E30, 44A15, 44A35.

 
    Editors: Sever S. Dragomir,  
 
    Abstract:

In this paper, we define subspaces of $ L^p$ by differences using the Dunkl translation operators that we call Besov-Dunkl spaces. We provide characterization of these spaces by the Dunkl convolution.

         
       
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