Essential angular derivatives and maximum growth of Koenigs eigenfunctions

DOI10.1006/jfan.1998.3353zbMath0926.30015OpenAlexW2035659490MaRDI QIDQ1279650

Paul S. Bourdon

Publication date: 16 February 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1998.3353

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Linear operators on function spaces (general) (47B38)

Related Items (max. 100)

Königs eigenfunction for composition operators on Bloch and \(H^\infty\) type spaces ⋮ Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions ⋮ Weighted composition operators on Korenblum type spaces of analytic functions ⋮ Spectra of composition operators on the Bloch and Bergman spaces ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey

Cites Work

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• The Hardy class of geometric models and the essential spectral radius of composition operators
• The spectra of composition operators on H\(^p\)
• Composition operators and classical function theory
• The Hardy class of Koenigs maps
• Norm convergence of normalized iterates and the growth of Kœnigs maps
• Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
• Mean growth of Koenigs eigenfunctions
• Angular derivatives at boundary fixed points for self-maps of the disk
• Composition Operators

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