Boundary behavior of the iterates of a self-map of the unit disk

DOI10.1016/J.JMAA.2012.05.062zbMath1263.30010OpenAlexW1994566190MaRDI QIDQ450975

Christian Pommerenke, Manuel D. Contreras, Santiago Diaz-Madrigal

Publication date: 26 September 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.062

zbMATH Keywords

Denjoy-Wolff theoremiteration in the unit diskKoenigs function

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (1)

Denjoy-Wolff theory and spectral properties of weighted composition operators on \(\text{Hol}(\mathbb{D})\)

Cites Work

• Pointwise convergence on the boundary in the Denjoy-Wolff theorem
• Composition operators and classical function theory
• On convergence to the Denjoy-Wolff point
• Cyclic phenomena for composition operators
• On the Iteration of Analytic Functions in a Halplane II
• On the Iteration of Analytic Functions in a Halfplane, I
• Some remarks on the Abel equation in the unit disk
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