Backward-iteration sequences with bounded hyperbolic steps for analytic self-maps of the disk

DOI10.4171/RMI/375zbMath1057.30023arXivmath/0308060OpenAlexW2026816485MaRDI QIDQ1884109

Pietro Poggi-Corradini

Publication date: 25 October 2004

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308060

zbMATH Keywords

Denjoy-Wolff theoremback iteration sequenceforward iterates

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Functional equations for complex functions (39B32)

Related Items (16)

Fixed points of commuting holomorphic mappings other than the Wolff point ⋮ Backward iteration in the unit ball ⋮ On the uniqueness of classical semiconjugations for self-maps of the disk ⋮ The stable subset of a univalent self-map ⋮ The horofunction boundary of a Gromov hyperbolic space ⋮ Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces ⋮ Backward iteration in strongly convex domains ⋮ Eigenvalues of adjoints of certain composition operators and weighted composition operators ⋮ Backward orbits and petals of semigroups of holomorphic self-maps of the unit disc ⋮ Iteration in the disk and the ball: a survey of the role of hyperbolic geometry ⋮ Canonical models for the forward and backward iteration of holomorphic maps ⋮ Geometric description of the classification of holomorphic semigroups ⋮ Pointwise convergence on the boundary in the Denjoy-Wolff theorem ⋮ The stable set of a self-map ⋮ Backward orbits in the unit ball ⋮ Slope problem for trajectories of holomorphic semigroups in the unit disk

Cites Work

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• Composition operators and classical function theory
• On the Iteration of Analytic Functions in a Halplane II
• Inequalities for the Angular Derivative of an Analytic Function in the Unit Disk
• On the Iteration of Analytic Functions in a Halfplane, I
• Angular derivatives at boundary fixed points for self-maps of the disk
• Fixed points of commuting holomorphic mappings other than the Wolff point

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