Weighted Dunkl transform inequalities and application on radial Besov spaces

DOI10.1007/s11565-013-0180-1zbMath1314.42016arXiv1012.5901OpenAlexW1980228808MaRDI QIDQ467128

Chokri Abdelkefi, Abdessattar Jemai

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5901

zbMATH Keywords

Dunkl operatorHardy inequalitiesradial Besov spacesweighted Dunkl transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (1)

Some results on the Hardy space \(H^1_k\) associated with the Dunkl operators

Cites Work

• Besov-type spaces on R\(d\) and integrability for the Dunkl transform
• Markov processes related with Dunkl operators
• The Dunkl transform
• Weighted Fourier inequalities: New proofs and generalizations.
• Calogero-Moser-Sutherland models. Workshop, Centre de Recherches Mathématique, Montréal, Canada, March 10--15, 1997
• Weighted function spaces and Dunkl transform
• Convolution operator and maximal function for the Dunkl transform
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel
• Best Constants for Two Nonconvolution Inequalities
• Inequalities for Fourier transforms
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