Angular derivatives at boundary fixed points for self-maps of the disk

DOI10.1090/S0002-9939-98-04303-2zbMath0891.30014MaRDI QIDQ4387038

Pietro Poggi-Corradini

Publication date: 6 May 1998

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

zbMATH Keywords

fixed pointangular derivativeKoenigs functionHardy number

Mathematics Subject Classification ID

Related Items (9)

Backward-iteration sequences with bounded hyperbolic steps for analytic self-maps of the disk ⋮ Fixed points of commuting holomorphic mappings other than the Wolff point ⋮ Semigroup-fication of univalent self-maps of the unit disc ⋮ Angular derivatives for holomorphic self-maps of the disk ⋮ The stable subset of a univalent self-map ⋮ Conformal invariants and the angular derivative problem ⋮ Backward orbits and petals of semigroups of holomorphic self-maps of the unit disc ⋮ Canonical models for the forward and backward iteration of holomorphic maps ⋮ Essential angular derivatives and maximum growth of Koenigs eigenfunctions

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
• Spectra of some composition operators
• Geometric models and compactness of composition operators
• Hardy spaces and twisted sectors for geometric models

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