Growth properties of the \(q\)-Dunkl transform in the space \(L^p_{q,\alpha }({\mathbb{R}}_q,|x|^{2\alpha +1}d_qx)\)

DOI10.1007/s11139-021-00387-xzbMath1501.33007OpenAlexW3156422342MaRDI QIDQ2070381

Othman Tyr, Radouan Daher

Publication date: 24 January 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00387-x

zbMATH Keywords

Titchmarsh's theorem\(q\)-Dunkl operatorLipschitz class\(q\)-Dunkl transformgeneralized \(q\)-Dunkl translationYounis's theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Linear operators on Banach algebras (47B48)

Related Items (4)

Mellin integral transforms and generalized Lipschitz and Zygmund spaces ⋮ Absolutely convergent \(q\)-Dunkl integrals and classical function spaces ⋮ Unnamed Item ⋮ On the generalized Hilbert transform and weighted Hardy spaces in \(q\)-Dunkl harmonic analysis

Cites Work

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