Besov-Type Spaces on Rd and Integrability for the Dunkl Transform
In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution. Finally, we establish further results concerning integrability...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2009 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149253 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Besov-Type Spaces on Rd and Integrability for the Dunkl Transform / C. Abdelkefi, Jean-Philippe Anker, F. Sassi, M. Sifi // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862698907686928384 |
|---|---|
| author | Abdelkefi, C. Sassi, F. Sifi, M. Anker, Jean-Philippe |
| author_facet | Abdelkefi, C. Sassi, F. Sifi, M. Anker, Jean-Philippe |
| citation_txt | Besov-Type Spaces on Rd and Integrability for the Dunkl Transform / C. Abdelkefi, Jean-Philippe Anker, F. Sassi, M. Sifi // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution. Finally, we establish further results concerning integrability of the Dunkl transform of function in a suitable Besov-Dunkl space.
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| first_indexed | 2025-12-07T16:34:02Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149253 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:34:02Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Abdelkefi, C. Sassi, F. Sifi, M. Anker, Jean-Philippe 2019-02-19T19:24:22Z 2019-02-19T19:24:22Z 2009 Besov-Type Spaces on Rd and Integrability for the Dunkl Transform / C. Abdelkefi, Jean-Philippe Anker, F. Sassi, M. Sifi // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ. 1815-0659 In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution. Finally, we establish further results concerning integrability of the Dunkl transform of function in a suitable Besov-Dunkl space. https://nasplib.isofts.kiev.ua/handle/123456789/149253 In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution. Finally, we establish further results concerning integrability of the Dunkl transform of function in a suitable Besov-Dunkl space. This paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. The authors thank the referees for their remarks and suggestions. Work supported by the DGRST research project 04/UR/15-02 and the program CMCU 07G 1501. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Besov-Type Spaces on Rd and Integrability for the Dunkl Transform Article published earlier |
| spellingShingle | Besov-Type Spaces on Rd and Integrability for the Dunkl Transform Abdelkefi, C. Sassi, F. Sifi, M. Anker, Jean-Philippe |
| title | Besov-Type Spaces on Rd and Integrability for the Dunkl Transform |
| title_full | Besov-Type Spaces on Rd and Integrability for the Dunkl Transform |
| title_fullStr | Besov-Type Spaces on Rd and Integrability for the Dunkl Transform |
| title_full_unstemmed | Besov-Type Spaces on Rd and Integrability for the Dunkl Transform |
| title_short | Besov-Type Spaces on Rd and Integrability for the Dunkl Transform |
| title_sort | besov-type spaces on rd and integrability for the dunkl transform |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149253 |
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