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

被引：1

作者：

Contreras, Manuel D. ^{[1
]}

Diaz-Madrigal, Santiago ^{[1
]}

Pommerenke, Christian ^{[2
]}

机构：

[1] Univ Seville, Dept Matemat Aplicada 2, Escuela Tecn Super Ingn, Seville 41092, Spain

[2] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 396卷 / 01期

关键词：

Iteration in the unit disk; Denjoy-Wolff theorem; Koenigs function; ANALYTIC-FUNCTIONS; CONVERGENCE;

D O I：

10.1016/j.jmaa.2012.05.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that there is a proper boundary Denjoy-Wolff theorem for those parabolic self-maps of D of zero hyperbolic step whose Koenigs function has an angular limit almost everywhere on partial derivative D. We also provide some quantitative information about this convergence. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：93 / 97

页数：5

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