The Dunkl-Hausdorff operator is bounded on the real Hardy space

DOI10.1080/10652469.2019.1636236OpenAlexW2955862999MaRDI QIDQ5198060

Faouaz Saadi, Radouan Daher

Publication date: 2 October 2019

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1636236

zbMATH Keywords

Hardy spaceRiesz transformationDunkl transformationDunkl-Hausdorff operator

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38) Integral operators (47G10) (H^p)-spaces (42B30) Other transforms and operators of Fourier type (43A32)

Related Items (10)

Boundedness of the Dunkl-Hausdorff operator in Lebesgue spaces ⋮ Boundedness of multidimensional Dunkl-Hausdorff operators ⋮ Hausdorff operators associated with the Opdam-Cherednik transform in Lebesgue spaces ⋮ Boundedness of bilinear Dunkl–Hausdorff operators on products of Lebesgue and Morrey spaces ⋮ On quasi-grand Lebesgue spaces and the Hausdorff operator ⋮ The Dunkl-Hausdorff operators and the Dunkl continuous wavelets transform ⋮ 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 ⋮ Dunkl-Hausdorff operators on \(BMO_{\alpha}(\mathbb{R})\) and \(W_{\alpha}^{p,r}(\mathbb{R})\) ⋮ Hausdorff and Dunkl-Hausdorff operators in Lebesgue spaces for monotone functions and monotone weights ⋮ On the generalized Hilbert transform and weighted Hardy spaces in \(q\)-Dunkl harmonic analysis

Cites Work

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• Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces
• Differential-Difference Operators Associated to Reflection Groups
• The Hausdorff Mean of a Fourier-Stieltjes Transform
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Multidimensional Hausdorff operators on the real Hardy space

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