Boundary behavior of the iterates of a self-map of the unit disk
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- 作者：Manuel D. Contreras ; Santiago D¨ªaz-Madrigal ; Christian Pommerenke
- 关键词：Iteration in the unit disk ; Denjoy&ndash ; Wolff theorem ; Koenigs function
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2012
- 出版时间：1 December, 2012
- 年：2012
- 卷：396
- 期：1
- 页码：93-97
- 全文大小：209 K
文摘
We show that there is a proper boundary Denjoy-Wolff theorem for those parabolic self-maps of of zero hyperbolic step whose Koenigs function has an angular limit almost everywhere on . We also provide some quantitative information about this convergence.