Koebe Type Theorems and Pre-Schwarzian of Harmonic K-quasiconformal Mappings,and Their Applications

作     者：Shao Lin CHEN Saminathan PONNUSAMY Shao Lin CHEN;Saminathan PONNUSAMY

作者机构：College of Mathematics and StatisticsHengyang Normal UniversityHengyang 421002P.R.China Hunan Provincial Key Laboratory of Intelligent Information Processing and ApplicationHengyang 421002P.R.China Department of MathematicsIndian Institute of Technology MadrasChennai-600036India 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2022年第38卷第11期

页      面：1965-1980页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China(Grant No.12071116) the Key Projects of Hunan Provincial Department of Education(Grant No.21A0429) the Discipline Special Research Projects of Hengyang Normal University(Grant No.XKZX21002) the Science and Technology Plan Project of Hunan Province(Grant No.2016TP1020) the Application-Oriented Characterized Disciplines,Double First-Class University Project of Hunan Province(Xiangjiaotong469) Mathematical Research Impact Centric Support(MATRICS)of the Department of Science and Technology(DST),India(MTR/2017/000367) 

主　　题：Harmonic K-quasiconformal mapping Koebe type covering theorem Koebe type distortion theorem Radial John disk 

摘      要：In this article,we first establish an asymptotically sharp Koebe type covering theorem for harmonic K-quasiconformal *** we use it to obtain an asymptotically Koebe type distortion theorem,a coefficients estimate,a Lipschitz characteristic and a linear measure distortion theorem of harmonic K-quasiconformal *** last,we give some characterizations of the radial John disks with the help of pre-Schwarzian of harmonic mappings.