期刊论文

Shao Lin Chen

英文

数学学报：英文版

1439-8516

2022

38

11

1965-1980

10.1007/s10114-022-1012-y

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

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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 with the help of pre-Schwarzian of harmonic mappings. © 2022,...