Boundedness of multidimensional Dunkl-Hausdorff operators

DOI10.1155/2020/1071746zbMath1437.47014OpenAlexW3016176306MaRDI QIDQ2179416

Radouan Daher, Faouaz Saadi

Publication date: 12 May 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/1071746

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) Linear operators on function spaces (general) (47B38) (H^p)-spaces (42B30)

Related Items

Boundedness of the Dunkl-Hausdorff operator 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 ⋮ 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 ⋮ Hausdorff and Dunkl-Hausdorff operators in Lebesgue spaces for monotone functions and monotone weights

Cites Work

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• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• Boundedness of multidimensional Hausdorff operators on \(H^1(\mathbb R^n)\)
• The Hardy space \(H^1\) in the rational Dunkl setting
• 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
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• The Dunkl-Hausdorff operator is bounded on the real Hardy space
• Multidimensional Hausdorff operators on the real Hardy space

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