Hausdorff operators on holomorphic Hardy spaces and applications

DOI10.1017/PRM.2018.74zbMath1437.47015arXiv1703.01015OpenAlexW2593222108MaRDI QIDQ4961002

Thai Thuan Quang, Ha Duy Hung, Luong Dang Ky

Publication date: 24 April 2020

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01015

zbMATH Keywords

Hardy spaceHilbert transformholomorphic functionHausdorff operator

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators on function spaces (general) (47B38) (H^p)-spaces (42B30) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (7)

Lower bound of Hausdorff operators on the power weighted Hardy spaces ⋮ Hausdorff operators on Fock spaces and a coefficient multiplier problem ⋮ On Hardy kernels as reproducing kernels ⋮ Hausdorff operators on some spaces of holomorphic functions on the unit disc ⋮ Hausdorff operators on Bergman spaces of the upper half plane ⋮ Hausdorff operators on weighted Banach spaces of type \(H^\infty\) ⋮ Generalized Hausdorff-Zhu operators on Möbius invariant spaces

Cites Work

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• Norm of the Hausdorff operator on the real Hardy space \(H^1({{\mathbb {R}}})\)
• Commuting relations for Hausdorff operators and Hilbert transforms on real Hardy spaces
• \(H^p\) spaces of several variables
• On functions of bounded mean oscillation
• Boundedness of integral operators on decreasing functions
• Fourier spectrum characterization of Hardy spaces and applications
• Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces
• Cesàro Operators on the Hardy Spaces of the Half-Plane
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Multidimensional Hausdorff operators on the real Hardy space
• Hausdorff and Quasi-Hausdorff Matrices on Spaces of Analytic Functions
• \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages
• Cesàro-like operators on the Hardy and Bergman spaces of the half plane

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