Weakly Quasisymmetric Maps and Uniform Spaces

被引：9
作者：
Li, Yaxiang [1 ]
Vuorinen, Matti [2 ]
Zhou, Qingshan [3 ]
机构：
[1] Cent South Univ Forestry & Technol, Coll Sci, Changsha 410004, Hunan, Peoples R China
[2] Univ Turku, Dept Math & Stat, Turku 20014, Finland
[3] Foshan Univ, Sch Math & Big Data, Foshan 528000, Guangdong, Peoples R China
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2018年 / 18卷 / 04期
关键词：
Subinvariance; Uniform domain; Weak quasisymmetry; Short arc; Quasihyperbolic geodesic; GROMOV HYPERBOLIC SPACES; BANACH-SPACES; QUASIHYPERBOLIC GEODESICS; CONFORMAL DEFORMATIONS; QUASIMOBIUS MAPS; METRIC-SPACES; FREE QUASICONFORMALITY; LOEWNER SPACES; JOHN DOMAINS; MAPPINGS;
D O I：
10.1007/s40315-018-0248-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose that X and Y are quasiconvex and complete metric spaces, that is a homeomorphism. In this paper, we first give some basic properties of short arcs, and then we show that if f is a weakly quasisymmetric mapping and is a quasiconvex domain, then the image f(D) of every uniform subdomain D in G is uniform. As an application, we get t is a uniform domain, then the images of the short arcs in G under f are uniform arcs in the sense of diameter.
引用
收藏
页码：689 / 715
页数：27
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