Weighted composition operators of \(H ^{\infty }\) into \(\alpha \)-Bloch spaces on the unit ball

DOI10.1007/s10114-008-7088-1zbMath1221.47064OpenAlexW2021575664MaRDI QIDQ1034251

Min Zhu Zhang, Huai Hui Chen

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-7088-1

zbMATH Keywords

boundednesscompactnessweighted composition operator\(\alpha\)-Bloch space\(H^\infty\) space

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (10)

Weighted composition operators from \(H^\infty\) to \((\alpha, m)\)-Bloch space on Cartan-Hartogs domain of the first type ⋮ Multiplication operators on the Lipschitz space of a tree ⋮ Some closed range integral operators on spaces of analytic functions ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Weighted composition operators from \(H^{\infty }\) to the Bloch space of infinite dimensional bounded symmetric domains ⋮ Multiplication operators between the Lipschitz space and the space of bounded functions on a tree ⋮ Weighted composition operators from H^∞ to the Bloch space in the unit ball of Copf;ⁿ ⋮ Norm of the multiplication operators from \(H^{\infty }\) to the Bloch space of a bounded symmetric domain ⋮ Weighted composition operators from \(H^{\infty }\) to the Bloch space of a bounded homogeneous domain ⋮ Weighted composition operators from weighted Bergman spaces to Stević-type spaces

Cites Work

• Weighted composition operators between \(\mu\)-Bloch spaces on the unit ball
• Weighted composition operators between \(H^\infty\) and \(\alpha\)-Bloch spaces in the unit ball
• Weighted composition operators between Bloch-type spaces.
• Composition operators on the Bloch space of several complex variables
• Composition operators on \(\alpha\)-Bloch spaces of the unit ball
• Compact Composition Operators on the Bloch Space
• Exact location of \(\alpha\)-Bloch spaces in \(L^p_a\) and \(H^p\) of a complex unit ball

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