Differences of weighted composition operators from hardy space to weighted-type spaces on the unit ball

DOI10.1007/s10587-012-0040-7zbMath1258.47051OpenAlexW2059391256MaRDI QIDQ4898754

Ze-Hua Zhou, Yu-Xia Liang

Publication date: 2 January 2013

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143020

zbMATH Keywords

Hardy spaceessential normweighted Bergman spaceweighted composition operator

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Linear composition operators (47B33) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (5)

New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces ⋮ The topological structure of weighted composition operators from Lipschitz spaces to \(H^{\infty}\) ⋮ Differences of integral-type operators from weighted Bergman spaces to Bloch spaces of the unit ball ⋮ Differences of composition operators followed by differentiation between weighted Banach spaces of holomorphic functions ⋮ Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball

Cites Work

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• Topological structure of the space of weighted composition operators on \(H^\infty\)
• Differences of composition operators between weighted Banach spaces of holomorphic functions on the unit polydisk
• An estimate of the essential norm of a composition operator from \(F(p,q,s)\) to \(\mathcal B^\alpha \) in the unit ball
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• Differences of composition operators on the space of bounded analytic functions in the polydisc
• Differences of composition operators between weighted-type spaces of holomorphic functions on the unit ball of \(\mathbb C^N\)
• Compact composition operators on \(H^ p(B_ N)\)
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• Essential norm of the difference of composition operators on Bloch space
• DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS
• WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) TO BLOCH TYPE SPACES ON THE UNIT BALL
• DIFFERENCES OF COMPOSITION OPERATORS ON THE BLOCH SPACE IN THE POLYDISC
• Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions
• Topological structure of the space of composition operators on \(H^\infty\).

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