论文标题
在由单价函数的Schwarzian导数引起的乘数运算符上
On a multiplier operator induced by the Schwarzian derivative of univalent functions
论文作者
论文摘要
在本文中，我们研究了一个乘数运算符，该乘数是由Schwarzian衍生物诱导的，该派函数的单价函数具有对扩展复合平面的准形式扩展。作为应用程序，我们表明Brennan的猜想是满足了一大类准风格的。我们还根据乘数运算符，建立了渐近曲线曲线和Weil-Petersson曲线的新表征。
In this paper we study a multiplier operator which is induced by the Schwarzian derivative of univalent functions with a quasiconformal extension to the extended complex plane. As applications, we show that the Brennan conjecture is satisfied for a large class of quasidisks. We also establish a new characterization of asymptotically conformal curves and of the Weil-Petersson curves in terms of the multiplier operator.
