On the geometry of simply connected wandering domains

被引：7
|
作者：
Thaler, Luka Boc [1 ,2 ]
机构：
[1] Univ Ljubljana, Fac Educ, Kardeljeva Ploscad 16, Ljubljana 1000, Slovenia
[2] Inst Math Phys & Mech, Jandranska 19, Ljubljana 1000, Slovenia
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2021年 / 53卷 / 06期
关键词：
30D05; 37F10; 30D20 (primary); EXAMPLES;
D O I：
10.1112/blms.12518
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the geometry of simply connected wandering domains for entire functions and we prove that every bounded connected regular open set, whose closure has a connected complement, is a wandering domain of some entire function. In particular such a domain can be realized as an escaping or an oscillating wandering domain. As a consequence, we obtain that every Jordan curve is the boundary of a wandering Fatou component of some entire function.
引用
收藏
页码：1663 / 1673
页数：11
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