摘要
证明并利用单位圆盘到自身上拟共形映照的一个偏差定理,得到一个判别单位圆盘到自身上调和同胚为调和拟共形同胚的充要条件.作为应用,给出一个判别单位圆盘到自身上调和同胚为调和拟共形同胚的简单判别法.
One necessary and sufficient condition for harmonic homeomorphism of the unit disk onto itself to be harmonic quasiconformal homeomorphism is obtained by a distortion theorem for quasiconformal mappings of the unit disk onto itself.As a result,one simple criterion is given to judge one harmonic homeomorphism of the unit disk onto itself to be a harmonic quasiconformal homeomorphism.
出处
《数学年刊（A辑）》
CSCD
北大核心
2008年第4期519-524,共6页
Chinese Annals of Mathematics
基金
福建省自然科学基金(No.Z0511025)资助的项目.
关键词
调和同胚
拟共形映照
偏差定理
调和拟共形同胚
Harmonic homeomorphism
Quasiconformal mapping
Distortion theorem
Harmonic quasiconformal homeomorphism
