Besov-Type Spaces on $R^d$ and Integrability for the Dunkl Transform

Abstract : 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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Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2009, 5, 019, 15 pp. 〈10.3842/SIGMA.2009.019〉
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https://hal.archives-ouvertes.fr/hal-00362680
Contributeur : Jean-Philippe Anker <>
Soumis le : jeudi 19 février 2009 - 07:56:57
Dernière modification le : mardi 3 juillet 2018 - 13:06:04

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Chokri Abdelkefi, Jean-Philippe Anker, Feriel Sassi, Mohamed Sifi. Besov-Type Spaces on $R^d$ and Integrability for the Dunkl Transform. Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2009, 5, 019, 15 pp. 〈10.3842/SIGMA.2009.019〉. 〈hal-00362680〉

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