Universal radial limits of meromorphic functions in the unit disk

被引：0
|
作者：
Meyrath, Thierry [1 ]
机构：
[1] Univ Luxembourg, Dept Math, 6 Ave Fonte, L-4364 Esch Sur Alzette, Luxembourg
来源：
COMPTES RENDUS MATHEMATIQUE | 2022年 / 360卷 / 01期
关键词：
D O I：
10.5802/crmath.352
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the space of meromorphic functions in the unit disk D and show that there exists a dense G(delta)-subset of functions having universal radial limits. Our results complement known statements about holomorphic functions and further imply the existence of meromorphic functions having maximal cluster sets along certain subsets of D.
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页码：893 / 898
页数：6
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