Generalized Lipschitz and Besov spaces in terms of decay of Dunkl transforms in the space \(L^2 (\mathbb{R}^d, w_l (x)dx)\)

DOI10.1007/S12215-024-01086-4MaRDI QIDQ6655824

R. Daher, S. El Ouadih

Publication date: 27 December 2024

Published in: Rendiconti del Circolo Matematico di Palermo (Search for Journal in Brave)

zbMATH Keywords

moduli of continuityDunkl transformsgeneralized Besov spacesgeneralized spherical mean operatorTitchmarsh type theorem

Mathematics Subject Classification ID

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) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Other transforms and operators of Fourier type (43A32) Basic hypergeometric integrals and functions defined by them (33D60)

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