Identity principles for commuting holomorphic self-maps of the unit disc

被引：20
|
作者：
Bracci, F
Tauraso, R
Vlacci, F
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 270卷 / 02期
关键词：
holomorphic self-maps; commuting functions; fixed points; Wolff point;
D O I：
10.1016/S0022-247X(02)00080-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f, g be two commuting holomorphic self-maps of the unit disc. If f and g agree at the common Wolff point up to a certain order of derivatives (no more than 3 if the Wolff point is on the unit circle), then f equivalent to g. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：451 / 473
页数：23
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