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Besov-Type Spaces on Rd and Integrability for the Dunkl Transform
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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Besov-Type Spaces on Rd and Integrability for the Dunkl Transform
Інший ID:
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.
Посилання:
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.
Підтримка:
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.
Дата:
2009
Переглядів:
623
Завантажень:
282
Анотація:
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.
