拟圆的四点不等式

得到了拟圆的一个四点不等式 ,它是圆的四点不等式的拓广 .

关于拟共型扩张的一点注记

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。

On a Relation between the Universal Teichmu¨ller Space and the Grunsky Operator

Being a Strebel point gives a sufficient condition for that the extremal Beltrami coefficient is uniquely determined in a Teichmiiller equivalence class. We consider how Strebel points are characterized. In this paper, we will give a new characterization of Strebel points in a certain subset of the universal Teichmfiller space by a property of the Grunsky operator.

依赖参数的无穷小Strebel点

给定单位圆Δ内一个有界可测函数μ(z),且∥μ∥∞=k∈(0,1/3),本文考察μ_(t)(z)=tμ(z)的Teichmüller等价类[μ_(t)].我们找到了一族全纯依赖于复参数t的有界可测函数ν_(t)∈[μ_(t)],使得ν_(t)(z)的无穷小Teichmüller等价类[ν_(t)]B均是无穷小Strebel点,且使得t↦[ν_(t)]B是单位圆Δ到无穷小Teichmüller空间Z的全纯映射.