Topological structures of the sets of composition operators on the Bloch spaces

DOI10.1016/j.jmaa.2005.04.080zbMath1087.47029OpenAlexW2071787929MaRDI QIDQ2581493

Shuichi Ohno, Takuya Hosokawa

Publication date: 10 January 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.080

zbMATH Keywords

Bloch spacecomposition operatorlittle Bloch space

Mathematics Subject Classification ID

Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (20)

Path components of the space of (weighted) composition operators on Bergman spaces ⋮ The compactness of the sum of weighted composition operators on the ball algebra ⋮ The topological structure of weighted composition operators from Lipschitz spaces to \(H^{\infty}\) ⋮ Difference of composition operators from the space of Cauchy integral transforms to Bloch-type spaces ⋮ Components of linear fractional composition operators on spaces of holomorphic functions ⋮ Differences of generalized composition operators on the Bloch space ⋮ Compact differences of composition operators on Bloch and Lipschitz spaces ⋮ Eigenfunctions of composition operators on Bloch-type spaces ⋮ Difference of composition operators on some analytic function spaces ⋮ Differences of weighted composition operators from hardy space to weighted-type spaces on the unit ball ⋮ Differences of composition operators on Bloch type spaces ⋮ Affine and linear invariant families of harmonic mappings ⋮ Norm-attaining composition operators on the Bloch spaces ⋮ Topological structure in the space of (weighted) composition operators on weighted Banach spaces of holomorphic functions ⋮ Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian derivative ⋮ Essential norm of the difference of composition operators on Bloch space ⋮ Differences of composition operators on the space of bounded analytic functions in the polydisc ⋮ Topological structure of the space of composition operators between different Fock spaces ⋮ DIFFERENCES OF COMPOSITION OPERATORS ON THE BLOCH SPACE IN THE POLYDISC ⋮ Differences of weighted composition operators acting from Bloch space to 𝐻^{∞}

Cites Work

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• Isolation amongst the composition operators
• Composition operators and classical function theory
• Inner functions in the hyperbolic little Bloch class
• Isolated points and essential components of composition operators on 𝐻^{∞}
• Inner Functions, Bloch Spaces and Symmetric Measures
• Compact Composition Operators on the Bloch Space
• Topological structure of the space of composition operators on \(H^\infty\).

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