Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting
We study the Dunkl convolution operators on Herz-type Hardy spaces ℋα,2p and we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spaces ℋα,∞p.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/204509 |
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| _version_ | 1832566920653570048 |
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| author | A. Gasmi F. Soltani |
| author_facet | A. Gasmi F. Soltani |
| author_sort | A. Gasmi |
| collection | DOAJ |
| description | We study the Dunkl convolution operators on Herz-type Hardy spaces ℋα,2p and we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on
the Herz-type Hardy spaces ℋα,∞p. |
| format | Article |
| id | doaj-art-cd130bf6737446e8a64a33cd4da9e807 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cd130bf6737446e8a64a33cd4da9e8072025-02-03T01:02:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/204509204509Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl SettingA. Gasmi0F. Soltani1Department of Mathematics, Faculty of Sciences of Tunis, University of EL-Manar, Tunis 2092, TunisiaDepartment of Mathematics, Faculty of Sciences of Tunis, University of EL-Manar, Tunis 2092, TunisiaWe study the Dunkl convolution operators on Herz-type Hardy spaces ℋα,2p and we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spaces ℋα,∞p.http://dx.doi.org/10.1155/2010/204509 |
| spellingShingle | A. Gasmi F. Soltani Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting International Journal of Mathematics and Mathematical Sciences |
| title | Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting |
| title_full | Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting |
| title_fullStr | Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting |
| title_full_unstemmed | Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting |
| title_short | Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting |
| title_sort | convolution operators and bochner riesz means on herz type hardy spaces in the dunkl setting |
| url | http://dx.doi.org/10.1155/2010/204509 |
| work_keys_str_mv | AT agasmi convolutionoperatorsandbochnerrieszmeansonherztypehardyspacesinthedunklsetting AT fsoltani convolutionoperatorsandbochnerrieszmeansonherztypehardyspacesinthedunklsetting |