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

DOI10.1007/s11565-015-0229-4zbMath1328.42004arXiv1503.02299OpenAlexW1804821807MaRDI QIDQ895816

Chokri Abdelkefi, Mongi Rachdi

Publication date: 7 December 2015

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/1503.02299

zbMATH Keywords

Hardy operatorRiesz transformsatomic Hardy spacesDunkl operatorsDunkl transform

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) (H^p)-spaces (42B30)

Related Items (2)

Boundedness of bilinear Dunkl–Hausdorff operators on products of Lebesgue and Morrey spaces ⋮ On the generalized Hilbert transform and weighted Hardy spaces in \(q\)-Dunkl harmonic analysis

Cites Work

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• Riesz transforms for Dunkl transform
• Weighted Dunkl transform inequalities and application on radial Besov spaces
• Riesz transform and Riesz potentials for Dunkl transform
• Besov-type spaces on R\(d\) and integrability for the Dunkl transform
• Markov processes related with Dunkl operators
• Convolution operator and maximal function for the Dunkl transform
• Modern Fourier Analysis
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• Extensions of Hardy spaces and their use in analysis
• A real variable characterization of $H^{p}$
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators

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