The stable subset of a univalent self-map

被引：3
作者：
Arosio, Leandro [1 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
来源：
MATHEMATISCHE ZEITSCHRIFT | 2015年 / 281卷 / 3-4期
基金：
欧洲研究理事会;
关键词：
Backward orbits; Canonical models; Holomorphic iteration; BOUNDARY FIXED-POINTS; BACKWARD-ITERATION; ANGULAR DERIVATIVES; WOLFF POINT; UNIT DISK;
D O I：
10.1007/s00209-015-1521-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a complete description of the stable subset (the union of all backward orbit with bounded step) and of the pre-models of a univalent self-map , where X is a Kobayashi hyperbolic cocompact complex manifold, such as the ball or the polydisc in . The result is obtained studying the complex structure of a decreasing intersection of complex manifolds, all biholomorphic to X.
引用
收藏
页码：1089 / 1110
页数：22
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