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

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成果类型:
期刊论文
作者:
Shao Lin CHEN;Saminathan PONNUSAMY
通讯作者:
Shao Lin Chen
作者机构:
[Shao Lin CHEN] College of Mathematics and Statistics,Hengyang Normal University,Hengyang 421002,P.R.China
[Shao Lin CHEN] Hunan Provincial Key Laboratory of Intelligent Information Processing and Application,Hengyang 421002,P.R.China
Department of Mathematics,Indian Institute of Technology Madras,Chennai-600 036,India
[Saminathan PONNUSAMY] 马德拉斯理工学院
通讯机构:
[Shao Lin Chen] C
College of Mathematics and Statistics, Hengyang Normal University, Hengyang, P. R. China<&wdkj&>Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang, P. R. China
语种:
英文
关键词:
Harmonic K-quasiconformal mapping;Koebe type covering theorem;Koebe type distortion theorem;Radial John disk
期刊:
数学学报:英文版
ISSN:
1439-8516
年:
2022
卷:
38
期:
11
页码:
1965-1980
基金类别:
The first author was partly supported by 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), and the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469). The work of the second author was supported by Mathematical Research Impact Centric Support (MATRICS) of the Department of Science and Technology (DST), India (MTR/2017/000367). Acknowledgements
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
物理与电子工程学院
摘要:
In this article, we first establish an asymptotically sharp Koebe type covering theorem for harmonic K-quasiconformal mappings. Then 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 mappings. At last, we give some characterizations of the radial John disks wit...

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