Pointwise convergence on the boundary in the Denjoy-Wolff theorem
DOI10.1216/RMJ-2010-40-4-1275zbMath1210.30009arXivmath/0407133MaRDI QIDQ990320
Publication date: 7 September 2010
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0407133
harmonic measureelliptic mappinginner functionanalytic self-mapDenjoy-Wolff theoremhyperbolic mappingconvergence on the boundaryiteration of analytic functionsparabolic mapping
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Capacity and harmonic measure in the complex plane (30C85)
Related Items (8)
Cites Work
- Complex dynamics
- The Hardy class of Koenigs maps
- Norm convergence of normalized iterates and the growth of Kœnigs maps
- Backward-iteration sequences with bounded hyperbolic steps for analytic self-maps of the disk
- On convergence to the Denjoy-Wolff point
- On the Iteration of Analytic Functions in a Halfplane, I
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