Besov-Type Spaces on Rdand Integrability for the Dunkl Transform

Authors :: Mohamed Sifi
Jean-Philippe Anker
Chokri Abdelkefi
Feriel Sassi
Analyse Mathématique et Applications
Université de Tunis El Manar (UTM)-Ecole Préparatoire aux Etudes d'Ingénieurs de Tunis
Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO)
Source :: Symmetry, Integrability and Geometry : Methods and Applications, Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2009, 5, 019, 15 pp. ⟨10.3842/SIGMA.2009.019⟩, Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 019 (2009)
Publication Year :: 2009
Publisher :: SIGMA (Symmetry, Integrability and Geometry: Methods and Application), 2009.
Abstract: International audience; 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.