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

XU Qing, LIU Zhi-bin, WANG Jian-fei

doi:10.13371/j.cnki.chin.q.j.m.2017.01.009

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 1: 79 - 87

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.01.009

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

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Department of Mathematics and Physics,Information Engineering,Zhejiang Normal University

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.

Received date: 2016-10-23

Online published: 2020-10-26

Supported by

Supported by the National Natural Science Foundation of China(11471111,11571105,11671362)； Supported by the Natural Science Foundation of Zhejiang Province(LY16A010004)；

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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

Cite this article

XU Qing, LIU Zhi-bin, WANG Jian-fei . Bloch Constant on \alpha-Bloch Mappings of the Unit Ball[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(1) : 79 -87 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.01.009

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