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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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