Weighted Lp-Inequalities for the Dunkl Transform
We give, for 1<p≤2, weighted Lp-inequalities for the Dunkl transform, using, respectively, the modulus of continuity of radial functions and the Dunkl convolution in the general case. As application, we obtain, in particular, the integrability of this transform on Besov-Lipschitz spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/702151 |
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| _version_ | 1832554171694317568 |
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| author | Chokri Abdelkefi Faten Rached |
| author_facet | Chokri Abdelkefi Faten Rached |
| author_sort | Chokri Abdelkefi |
| collection | DOAJ |
| description | We give, for 1<p≤2, weighted Lp-inequalities for the Dunkl transform, using, respectively, the modulus of continuity of radial functions and the Dunkl convolution in the general case. As application, we obtain, in particular, the integrability of this transform on Besov-Lipschitz spaces. |
| format | Article |
| id | doaj-art-b863af837edc453faae957d4ce4917bb |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b863af837edc453faae957d4ce4917bb2025-02-03T05:52:15ZengWileyJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/702151702151Weighted Lp-Inequalities for the Dunkl TransformChokri Abdelkefi0Faten Rached1Department of Mathematics, Preparatory Institute of Engineer Studies of Tunis, University of Tunis, Montfleury, 1089 Tunis, TunisiaDepartment of Mathematics, Preparatory Institute of Engineer Studies of Tunis, University of Tunis, Montfleury, 1089 Tunis, TunisiaWe give, for 1<p≤2, weighted Lp-inequalities for the Dunkl transform, using, respectively, the modulus of continuity of radial functions and the Dunkl convolution in the general case. As application, we obtain, in particular, the integrability of this transform on Besov-Lipschitz spaces.http://dx.doi.org/10.1155/2014/702151 |
| spellingShingle | Chokri Abdelkefi Faten Rached Weighted Lp-Inequalities for the Dunkl Transform Journal of Mathematics |
| title | Weighted Lp-Inequalities for the Dunkl Transform |
| title_full | Weighted Lp-Inequalities for the Dunkl Transform |
| title_fullStr | Weighted Lp-Inequalities for the Dunkl Transform |
| title_full_unstemmed | Weighted Lp-Inequalities for the Dunkl Transform |
| title_short | Weighted Lp-Inequalities for the Dunkl Transform |
| title_sort | weighted lp inequalities for the dunkl transform |
| url | http://dx.doi.org/10.1155/2014/702151 |
| work_keys_str_mv | AT chokriabdelkefi weightedlpinequalitiesforthedunkltransform AT fatenrached weightedlpinequalitiesforthedunkltransform |