论由单值函数的施瓦兹导数引起的乘法算子

IF 0.8 3区数学 Q2 MATHEMATICS Bulletin of the London Mathematical Society Pub Date : 2024-04-30 DOI:10.1112/blms.13056

Jianjun Jin

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引用次数: 0

摘要

在本文中，我们研究了一个乘法算子，它是由单值函数的施瓦兹导数诱导的，并具有向扩展复平面的类变形扩展。作为应用，我们证明了布伦南猜想对于一大类准平面是满足的。我们还用乘法算子建立了渐近共形曲线和魏尔-彼得森曲线的新特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a multiplier operator induced by the Schwarzian derivative of univalent functions

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.

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