Abstract Boundaries and Continuous Extension of Biholomorphisms

被引：6
作者：
Bracci, F. [1 ]
Gaussier, H. [2 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
[2] Univ Grenoble Alpes, F-38402 Grenoble, France
来源：
ANALYSIS MATHEMATICA | 2022年 / 48卷 / 02期
关键词：
Gromov hyperbolic space; biholomorphism; boundary extension; GROMOV HYPERBOLICITY; WEAK NOTION; DOMAINS; VISIBILITY; MAPPINGS;
D O I：
10.1007/s10476-022-0163-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present different constructions of abstract boundaries for bounded complete (Kobayashi) hyperbolic domains in DOUBLE-STRUCK CAPITAL C-d, d >= 1. These constructions essentially come from the geometric theory of metric spaces. We also present, as an application, some extension results concerning biholomorphic maps.
引用
收藏
页码：393 / 409
页数：17
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