Besov-Type Spaces on Rd and Integrability for the Dunkl Transform

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Abdelkefi, C., Sassi, F., Sifi, M., Anker, Jean-Philippe
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149253
• 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.

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...