Closed-range composition operators on \({\mathbb{A}^2}\) and the Bloch space

DOI10.1007/s00020-010-1806-7zbMath1237.47026OpenAlexW2083433658MaRDI QIDQ616752

Maria Tjani, John R. Akeroyd, Pratibha G. Ghatage

Publication date: 12 January 2011

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1806-7

zbMATH Keywords

Bergman spaceBloch spaceangular derivativeBlaschke productcomposition operatoranalytic self-mapnontangential limitclosed range operatorsJulia-Carathéodory theoremunivalent map

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Hardy spaces (30H10) Bloch spaces (30H30) Bergman spaces and Fock spaces (30H20)

Related Items (9)

Closed range composition operators on Besov type spaces ⋮ Boundedness from below of composition operators between $L^p_a$ and $L^q_a$, between $L^p_a$ and the Hardy space $H^2$, between $L^p_a$ and Besov space ⋮ Closed-range composition operators on weighted Bergman spaces ⋮ Erratum to: ``Closed-range composition operators on \(\mathbb A^2\) and the Bloch space ⋮ Erratum to: ``Closed-range composition operators on weighted Bergman spaces ⋮ Interpolating Blaschke products and angular derivatives ⋮ Closed range composition operators on Hilbert function spaces ⋮ Closed range composition operators on BMOA ⋮ Compactness of composition operators on the Bergman spaces of convex domains and analytic discs

Cites Work

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• Closed-range composition operators on \(\mathbb A^2\)
• Inequalities on Bergman spaces
• Composition operators and classical function theory
• Frostman shifts of inner functions
• Boundedness from below of composition operators on the Bloch spaces
• Preimages of one-point sets of Bloch and normal functions
• Isometries of the Bloch space among the composition operators
• Sampling sets and closed range composition operators on the Bloch space
• Hyperbolic derivatives and generalized Schwarz-Pick estimates
• Characterisation of the isometric composition operators on the Bloch space

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