Boundedness of Hausdorff operators on the power weighted Hardy spaces

DOI10.1007/s11766-017-3523-3zbMath1399.42064OpenAlexW2775479481MaRDI QIDQ1650710

Shaoyong He, Jiecheng Chen, Xiang Rong Zhu

Publication date: 18 July 2018

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-017-3523-3

zbMATH Keywords

Hardy spaceHausdorff operator

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38)

Related Items (4)

Weak and strong boundedness for \(p\)-adic fractional Hausdorff operator and its commutator ⋮ The Hausdorff operator on weighted \(p\)-adic Morrey and Herz type spaces ⋮ Some results for the commutators of generalized Hausdorff operator ⋮ Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group

Cites Work

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• Hausdorff operator on real Hardy spaces
• Hausdorff operators on the power weighted Hardy spaces
• Weighted Hardy spaces
• The molecular characterization of weighted Hardy spaces
• Boundedness of the Cesàro operator in Hardy spaces
• Hausdorff operators on Euclidean spaces
• Boundedness of multidimensional Hausdorff operators on \(H^1(\mathbb R^n)\)
• Characterization for commutators of \(n\)-dimensional fractional Hardy operators
• Modern Fourier Analysis
• Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces
• Weighted HARDY Spaces
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Multidimensional Hausdorff operators on the real Hardy space

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