QUASISPHERES AND METRIC DOUBLING MEASURES

被引：4
|
作者：
Lohvansuu, Atte [1 ]
Rajala, Kai [1 ]
Rasimus, Martti [1 ]
机构：
[1] Univ Jyvaskyla, Dept Math & Stat, POB 35 MaD, FI-40014 Jyvaskyla, Finland
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 07期
基金：
芬兰科学院;
关键词：
QUASI-SYMMETRIC PARAMETRIZATIONS; GOOD PARAMETERIZATIONS; SPACES; SURFACES; UNIFORMIZATION; EMBEDDINGS; BOUNDARY;
D O I：
10.1090/proc/13971
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Applying the Bonk-Kleiner characterization of Ahlfors 2-regular quasispheres, we show that a metric two-sphere X is a quasisphere if and only if X is linearly locally connected and carries a weak metric doubling measure, i.e., a measure that deforms the metric on X without much shrinking.
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页码：2973 / 2984
页数：12
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