Boundedness of multidimensional Hausdorff operators on \(H^1(\mathbb R^n)\)

DOI10.1016/j.jmaa.2013.07.042zbMath1309.42026OpenAlexW2551001293MaRDI QIDQ2258981

Jiecheng Chen, Xiang Rong Zhu

Publication date: 27 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.07.042

zbMATH Keywords

Hardy spacesmultidimensional Hausdorff operators

Mathematics Subject Classification ID

Integral operators (47G10) (H^p)-spaces (42B30)

Related Items (14)

Commutators of Hausdorff operators on Herz-type Hardy spaces ⋮ Boundedness of Hausdorff operators on the power weighted Hardy spaces ⋮ Boundedness of multidimensional Dunkl-Hausdorff operators ⋮ Hausdorff operators associated with the Opdam-Cherednik transform in Lebesgue spaces ⋮ Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces ⋮ Boundedness of Hausdorff operators on Hardy spaces over homogeneous spaces of Lie groups ⋮ Hausdorff operator on Morrey spaces and Campanato spaces ⋮ Boundedness of Hausdorff operators on Lebesgue spaces and Hardy spaces ⋮ The fractional Hausdorff operators on the Hardy spaces \(H^p(\mathbb{R}^n)\) ⋮ Hausdorff operators on real Hardy spaces \(H^1\) over homogeneous spaces with local doubling property ⋮ Some results for the commutators of generalized Hausdorff operator ⋮ Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group ⋮ Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group ⋮ Hausdorff operators on Bergman spaces of the upper half plane

Cites Work

• Unnamed Item
• Hausdorff operators on function spaces
• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• Multivariate Hausdorff operators on the spaces \(H^1(R^n)\) and \(BMO(R^n)\)
• Boundedness of the Hausdorff operators in H^pspaces, 0<p<1
• 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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