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2 results on '"Feriel Sassi"'

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

Author

Chokri Abdelkefi, Jean-Philippe Anker, Feriel Sassi, and Mohamed Sifi

Subjects
Dunkl operators, Dunkl transform, Dunkl translations, Dunkl convolution, Besov-Dunkl spaces, Mathematics, QA1-939
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.

Published
2009
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2. Besov-Type Spaces on Rdand Integrability for the Dunkl Transform

Author

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), and Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO)

Subjects
Pure mathematics, Mathematics::Classical Analysis and ODEs, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], Characterization (mathematics), Type (model theory), Besov-Dunkl spaces, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], Space (mathematics), 01 natural sciences, Convolution, Mathematics::Quantum Algebra, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, Mathematics::Representation Theory, Mathematical Physics, Dunkl operator, Mathematics, Mathematics::Functional Analysis, Dunkl operators, lcsh:Mathematics, 010102 general mathematics, Function (mathematics), Dunkl transform, Dunkl translations, lcsh:QA1-939, Functional Analysis (math.FA), Mathematics - Functional Analysis, 010101 applied mathematics, Algebra, Mathematics - Classical Analysis and ODEs, Schwartz space, Interpolation space, Geometry and Topology, Dunkl convolution, Analysis
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.

Published
2009

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