单位圆周上同胚映射的逆扩张

摘要

在Douady-Earle扩张基础上定义了单位圆周之间同胚映射的新共形自然扩张即逆扩张,并用一个反例证明了逆扩张不同于Douady-Earle扩张.%Based on Douady-Earle extension of homeomorphism from S1 to S1, a new extension map between unit discs called inverse extension is defined, which is conformal natural. And the inverse extension is shown not always to be equal to Douady-Earle extension by an example.