Dunkl-Hausdorff operators on \(BMO_{\alpha}(\mathbb{R})\) and \(W_{\alpha}^{p,r}(\mathbb{R})\)

DOI10.1007/S12215-020-00531-4zbMath1482.47087OpenAlexW3089282358MaRDI QIDQ2047461

Faouaz Saadi, Radouan Daher

Publication date: 20 August 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00531-4

zbMATH Keywords

Sobolev spacesboundedness\textit{BMO} spacesDunkl transformationDunkl-Hausdorff operator

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Integral operators (47G10) Other transforms and operators of Fourier type (43A32)

Related Items (1)

Generalized Hausdorff operators on \(\dot{K}_{\alpha, q}^{\beta, p}(\mathbb{R})\) and \(H\dot{K}_{\alpha, q}^{\beta, p, N}(\mathbb{R})\) in the Dunkl settings

Cites Work

• Unnamed Item
• On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line
• Characterization of function spaces for the Dunkl type operator on the real line
• The Hardy space \(H^1\) in the rational Dunkl setting
• Differential-Difference Operators Associated to Reflection Groups
• Hausdorff operators on Sobolev spaces W^k,1
• The Dunkl-Hausdorff operator is bounded on the real Hardy space
• Three results in Dunkl analysis

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