Norms of linear-fractional composition operators

DOI10.1090/S0002-9947-03-03374-9zbMath1038.47500OpenAlexW1924162201MaRDI QIDQ4461194

E. E. Fry, C. H. Spofford, Paul S. Bourdon, Christopher N. B. Hammond

Publication date: 29 March 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03374-9

zbMATH Keywords

normHardy spaceessential normcomposition operatorlinear-fractional

Mathematics Subject Classification ID

Linear composition operators (47B33)

Related Items (17)

Model spaces invariant under composition operators ⋮ Norms of composition operators with rational symbol ⋮ Norms of composition operators on weighted Hardy spaces ⋮ Problems on Weighted and Unweighted Composition Operators ⋮ Norm of a Volterra integral operator on some analytic function spaces ⋮ Adjoints of rationally induced composition operators ⋮ The norm of a composition operator with linear symbol acting on the Dirichlet space ⋮ Norms and spectral radii of composition operators acting on the Dirichlet space ⋮ Zeros of hypergeometric functions and the norm of a composition operator ⋮ Extremal non-compactness of composition operators with linear fractional symbol ⋮ Norms of composition operators between Fock spaces ⋮ Spectral theory for algebraic combinations of Toeplitz and composition operators ⋮ Slice regular composition operators ⋮ Composition operators with maximal norm on weighted Bergman spaces ⋮ Norms of weighted composition operators with automorphic symbol ⋮ Norms of hyponormal weighted composition operators on the Hardy and weighted Bergman spaces ⋮ On the norm of certain weighted composition operators on the Hardy space

Cites Work

• Linear fractional composition operators on \(H^ 2\)
• The essential norm of a composition operator
• Subnormality and composition operators on \(H^ 2\)
• Composition operators and classical function theory
• Continuity of the norm of a composition operator
• Which linear-fractional composition operators are essentially normal?
• Cyclic phenomena for composition operators
• Norms of Composition Operators on the Hardy Space
• Composition Operators
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