Chinese Quarterly Journal of Mathematics ›› 2017, Vol. 32 ›› Issue (1): 79-87.doi: 10.13371/j.cnki.chin.q.j.m.2017.01.009

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Bloch Constant on \alpha-Bloch Mappings of the Unit Ball

  

  1. Department of Mathematics and Physics,Information Engineering,Zhejiang Normal University
  • Received:2016-10-23 Online:2017-03-30 Published:2020-10-26
  • About author:LIU Zhi-bin(1965-), male, native of Jinhua, Zhejiang, an associate professor of Zhejiang Normal University, Ph.D., engages in complex analysis; WANG Jian-fei(1978-), male, native of Jinhua, Zhejiang, an associate professor of Zhejiang Normal University, Ph.D., engages in complex analyst.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11471111,11571105,11671362); Supported by the Natural Science Foundation of Zhejiang Province(LY16A010004);

Abstract: This note is denoted to establishing sharp distortion theorems for subclasses of α-Bloch mappings defined in the unit ball of Cn with critical points. Furthermore, the estimates of Bloch constant with respect to these subclasses are given. 

Key words: \alpha-Bloch mappings, distortion theorem, Bloch theorem, Bloch constant

CLC Number: