ON ESTIMATES FOR THE GENERALIZED DUNKL TRANSFORM AND TITCHMARSH'S THEOREM IN THE SPACE $L^{p}_{\alpha,Q}(\mathbb{R}), (1<p<=2)$

DOI10.22190/FUMI200921004AzbMath1499.46055OpenAlexW4312272737WikidataQ115010112 ScholiaQ115010112MaRDI QIDQ5074917

Daher Radouan, Akhlidj Abdellatif, Afaf Dahani, Mohamed El Hamma

Publication date: 10 May 2022

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi200921004a

zbMATH Keywords

differential operatorgeneralized Dunkl transformspaces of measurable functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Rate of convergence, degree of approximation (41A25)

Related Items (1)

Weighted integrability of Fourier-Dunkl transforms and generalized Lipschitz classes

Cites Work

• Sobolev spaces for the Dunkl operator on the real line
• Approximation of functions by the Fourier-Bessel sums
• Some remarks concerning the Fourier transform in the space L 2 (ℝ)
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