单位球上α-Bloch映照的Bloch常数

许青, 刘智斌, 王建飞

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

数学季刊 >

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

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

单位球上α-Bloch映照的Bloch常数

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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.

收稿日期: 2016-10-23

网络出版日期: 2020-10-26

基金资助

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

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

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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摘要

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.

关键词： \alpha-Bloch mappings; distortion theorem; Bloch theorem; Bloch constant

本文引用格式

许青, 刘智斌, 王建飞 . 单位球上α-Bloch映照的Bloch常数[J]. 数学季刊, 2017 , 32(1) : 79 -87 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.01.009

Abstract

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

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