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

被引：0
|
作者：
Jin, Jianjun [1 ]
机构：
[1] Hefei Univ Technol, Sch Math Sci, Xuancheng Campus, Xuancheng 242000, Peoples R China
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2024年 / 56卷 / 07期
基金：
中国国家自然科学基金;
关键词：
BLOCH FUNCTIONS; TEICHMULLER; SPACES;
D O I：
10.1112/blms.13056
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：2296 / 2314
页数：19
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