Composition operators with maximal norm on weighted Bergman spaces

DOI10.1090/S0002-9939-06-08271-2zbMath1110.47016OpenAlexW1603757047MaRDI QIDQ5469223

Brent J. Carswell, Christopher N. B. Hammond

Publication date: 17 May 2006

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08271-2

zbMATH Keywords

normessential normcomposition operator

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Linear composition operators (47B33)

Related Items (12)

Weighted/unweighted composition operators which are Ritt or unconditional Ritt operators ⋮ POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES ⋮ THE ESSENTIAL NORMS OF COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES ⋮ Isometries on products of composition and integral operators on Bloch type space ⋮ On convexity of composition and multiplication operators on weighted Hardy spaces ⋮ Isometric composition operators on weighted Dirichlet space ⋮ Norms of weighted composition operators with automorphic symbol ⋮ Norms of hyponormal weighted composition operators on the Hardy and weighted Bergman spaces ⋮ Unnamed Item ⋮ Isometric composition operators on the analytic Besov spaces ⋮ Isometries of the Bloch space among the composition operators ⋮ Isometries of the product of composition operators on weighted Bergman space

Cites Work

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• Linear fractional composition operators on \(H^ 2\)
• The essential norm of a composition operator
• Subnormality and composition operators on \(H^ 2\)
• Relating composition operators on different weighted Hardy spaces
• On norms of composition operators acting on Bergman spaces.
• What do composition operators know about inner functions?
• Continuity of the norm of a composition operator
• Subnormality and composition operators on the Bergman space.
• A short proof of a characterization of inner functions in terms of the composition operators they induce
• Isometries of the Dirichlet space among the composition operators
• Norms of linear-fractional composition operators
• Composition Operators

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