quasi homeomorphic space

In this paper, the propety of orientation preserving quasisymmetric homeomorphism h defined on unit circle is discused, and a necessary and sufficient condition for some characteristics of its quasiconformal extensions to be equal is given.

证明了单位圆周上保向拟对称同胚h的极值拟共形扩张的伸缩商、边界邻域扩张的极值伸缩商以及以单位圆为内部的拓扑四边形在h作用下像与原像的共形模之比的极大值三者相等的一个充要条件。

Estimate is also given to the upper bound of ρ for quasihommographies to be regarded as ρ quasisymmetric function.

研究单位圆周上拟交比同胚的一些偏差估计 ,并对拟交比同胚作为 ρ-拟对称函数中的 ρ的上界给出估计 ,其结果改进了近期由 Zajac得到的相应结