ON THE UNIFORM PERFECTNESS OF THE BOUNDARY OF MULTIPLY CONNECTED WANDERING DOMAINS

被引：8

作者：

Bergweiler, Walter ^{[1
]}

Zheng, Jian-Hua ^{[2
]}

机构：

[1] Univ Kiel, D-24098 Kiel, Germany

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 91卷 / 03期

关键词：

Fatou set; Julia set; iteration; entire function; wandering domain; uniformly perfect; JULIA SETS; ITERATION;

D O I：

10.1017/S1446788711001509

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate when the boundary of a multiply connected wandering domain of an entire function is uniformly perfect. We give a general criterion implying that it is not uniformly perfect. This criterion applies in particular to examples of multiply connected wandering domains given by Baker. We also provide examples of infinitely connected wandering domains whose boundary is uniformly perfect.

引用

页码：289 / 311

页数：23

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