|
|
|
|
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 by differences using the Dunkl translation operators that we call Besov-Dunkl spaces. We provide characterization of these spaces by the Dunkl convolution.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|