Besov-type spaces on R\(d\) and integrability for the Dunkl transform

DOI10.3842/SIGMA.2009.019zbMath1162.42003arXiv0902.2765MaRDI QIDQ1016712

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

Publication date: 21 May 2009

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2765

zbMATH Keywords

Dunkl operatorsDunkl transformDunkl convolutionBesov-Dunkl spacesDunkl translations

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (11)

Generalized Dunkl-Lipschitz spaces ⋮ Some results on the Hardy space \(H^1_k\) associated with the Dunkl operators ⋮ Generalized Besov spaces and their applications ⋮ The class \(B_{p}\) for weighted generalized Fourier transform inequalities ⋮ Sharp approximation theorems and Fourier inequalities in the Dunkl setting ⋮ Weighted Dunkl transform inequalities and application on radial Besov spaces ⋮ Weighted function spaces and Dunkl transform ⋮ Characterization of function spaces for the Dunkl type operator on the real line ⋮ Weighted inequalities and uncertainty principles for the (k,a)-generalized Fourier transform ⋮ Lipschitz and Triebel-Lizorkin spaces associated with the Dunkl operators on \(\mathbb{R}^d\) ⋮ Some properties of the Riesz potentials in Dunkl analysis

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