数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (1): 297-310.doi: 10.1007/s10473-021-0117-1

• 论文 • 上一篇    下一篇

PRECISE VALUES OF THE BLOCH CONSTANTS OF CERTAIN LOG-p-HARMONIC MAPPINGS

刘名生, 骆莉芳   

  1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • 收稿日期:2019-09-18 修回日期:2020-03-27 出版日期:2021-02-25 发布日期:2021-04-06
  • 通讯作者: Mingsheng LIU E-mail:liumsh65@163.com
  • 作者简介:Lifang LUO,E-mail: 1617983549@qq.com
  • 基金资助:
    This research was supported by Guangdong Natural Science Foundation (2018A030313508).

PRECISE VALUES OF THE BLOCH CONSTANTS OF CERTAIN LOG-p-HARMONIC MAPPINGS

Mingsheng LIU, Lifang LUO   

  1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • Received:2019-09-18 Revised:2020-03-27 Online:2021-02-25 Published:2021-04-06
  • Contact: Mingsheng LIU E-mail:liumsh65@163.com
  • About author:Lifang LUO,E-mail: 1617983549@qq.com
  • Supported by:
    This research was supported by Guangdong Natural Science Foundation (2018A030313508).

摘要: The aim of this article is twofold. One aim is to establish the precise forms of Landau-Bloch type theorems for certain polyharmonic mappings in the unit disk by applying a geometric method. The other is to obtain the precise values of Bloch constants for certain log-p-harmonic mappings. These results improve upon the corresponding results given in Bai et al. (Complex Anal. Oper. Theory, 13(2): 321-340, 2019).

关键词: Bloch constant, Landau theorem, Bloch theorem, biharmonic mappings, polyharmonic mappings, log-p-harmonic mappings, univalent

Abstract: The aim of this article is twofold. One aim is to establish the precise forms of Landau-Bloch type theorems for certain polyharmonic mappings in the unit disk by applying a geometric method. The other is to obtain the precise values of Bloch constants for certain log-p-harmonic mappings. These results improve upon the corresponding results given in Bai et al. (Complex Anal. Oper. Theory, 13(2): 321-340, 2019).

Key words: Bloch constant, Landau theorem, Bloch theorem, biharmonic mappings, polyharmonic mappings, log-p-harmonic mappings, univalent

中图分类号: 

  • 30C99