%0 Journal Article
%T Quasiconformal Mappings and Plump Domains<br>拟共形映射和Plump域
%A CHU Yuming
%A HUANG Manzi
%A ZHANG Xiaohui
%A <br>褚玉明
%J 系统科学与数学
%D 2008
%I 
%X Let $f: R^n\to R^n$ be a homeomorphism, in this paper, it is proved that$f$ is a $K$-quasiconformal mappings if and only if for any $c\geq1$, there exists $c^*\geq1$ such that $f$ maps any $c$-Plump domain onto $c^*$-Plump domain, where $c^*=c^*(n,K,c)$ is a constant depending only on $n,K$ and $c$ in the necessity, and $K=K(n,c,c^*)$ is a constant depending only on $n,c$ and $c^*$ in the sufficiency.
%K Quasiconformal mappings
%K plump domain
%K homeomorphism<br>拟共形映射
%K Plump域
%K 同胚
%K 存在
%K 常数
%K 拟共形映射
%K 同胚
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=68E03EF89E18722C6A2C496FC0A38A20&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=0B39A22176CE99FB&sid=D5C9DC4EF2F78008&eid=ED01F5AE50BE09C0&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=6