Landau–Bloch Type Theorems for Certain Subclasses for Polyharmonic Mappings

被引：0
作者：
Xi Luo
Ming-Sheng Liu
机构：
[1] Jiaying University,School of Mathematics
[2] South China Normal University,School of Mathematical Sciences
来源：
Computational Methods and Function Theory | 2023年 / 23卷
关键词：
Landau–Bloch type theorem; Bi-Lipschitz theorem; Harmonic mapping; Polyharmonic mapping; Univalent; Primary 30C99; Secondary 30C62; 30C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we first establish a Landau–Bloch type theorem for certain bounded polyharmonic mappings, which improves upon a result given by Bai et al. (Complex Anal Oper Theory, 13(2):321–340, 2019). Then, we establish three new versions of Landau–Bloch type theorems for polyharmonic mappings, and obtain several sharp results. Finally, we provide four bi-Lipschitz theorems for these subclasses of polyharmonic mappings.
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页码：303 / 325
页数：22
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