Differences of weighted composition operators acting from Bloch space to 𝐻^{∞}

DOI10.1090/S0002-9947-2011-05245-1zbMath1231.47023OpenAlexW1975003182MaRDI QIDQ3093473

Takuya Hosokawa, Shuichi Ohno

Publication date: 17 October 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2011-05245-1

zbMATH Keywords

Bloch spaceweighted composition operatorbounded analytic functionscompact differenceessential distance

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items

Difference of weighted composition operators from \(\alpha\)-Bloch spaces to \(\beta\)-Bloch spaces, Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces, Composition operators on Bloch and Hardy type spaces, The topological structure of weighted composition operators from Lipschitz spaces to \(H^{\infty}\), Characterizations of composition operators on Bloch and Hardy type spaces, Difference of composition operators from the space of Cauchy integral transforms to Bloch-type spaces, Lipschitz continuity of Bloch type mappings with respect to Bergman metric, Difference of weighted composition operators on the space of Cauchy integral transforms, Differences of weighted composition operators between the Fock spaces, Spectra of some invertible weighted composition operators on Hardy and weighted Bergman spaces in the unit ball, Essential norms of weighted composition operators from Bloch-type space to \(H^\infty \) on the unit ball, Difference of weighted composition operators from \(H^\infty\) to the Bloch space, Weighted composition operators from weighted Bergman spaces to Stević-type spaces, Weighted composition operators whose ranges contain the disk algebra

Cites Work

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• Extreme points and extremum problems in \(H_1\)
• Isolation amongst the composition operators
• Topological structure of the space of weighted composition operators on \(H^\infty\)
• Differences of weighted composition operators on the Bloch spaces
• The essential norm of a composition operator on Bloch spaces
• Composition operators and classical function theory
• Topological structures of the sets of composition operators on the Bloch spaces
• Isolated points and essential components of composition operators on 𝐻^{∞}
• THE ESSENTIAL NORM OF A WEIGHTED COMPOSITION OPERATOR FROM THE BLOCH SPACE TO H^∞
• Topological structure of the space of composition operators on \(H^\infty\).
• Weighted composition operators between \(H^\infty\) and the Bloch space