Uniform domains on holomorphic curves

被引：1

作者：

Arbelaez, Hugo ^{[1
]}

Chuaqui, Martin ^{[2
]}

Sierra, Willy ^{[3
]}

机构：

[1] Univ Nacl Colombia, Escuela Matemat, Medellin, Colombia

[2] Pontificia Univ Catolica Chile, Fac Matemat, Santiago, Chile

[3] Univ Cauca, Dept Matemat, Popayan, Colombia

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 07期

关键词：

univalence; uniform domain; holomorphic curve; Schwarzian derivative; 31A35; 30C55; 53A05; 30C99; DISTORTION-THEOREMS; CRITERIA; MAPPINGS;

D O I：

10.1080/17476933.2014.991392

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a recent criterion for the injectivity of a holomorphic curve in , the strong form of which is shown to imply that the image in is a uniform surface. This concept is borrowed from geometric function theory in connection with quasidisks. We also obtain a two-point distortion theorem giving sharp estimates for the separation of images in terms of the hyperbolic distance in .

引用

页码：1015 / 1031

页数：17

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