单位球上α-Bloch映照的Bloch常数

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

数学季刊 ›› 2017, Vol. 32 ›› Issue (1): 79-87.doi: 10.13371/j.cnki.chin.q.j.m.2017.01.009

单位球上α-Bloch映照的Bloch常数

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

收稿日期:2016-10-23 出版日期:2017-03-30 发布日期:2020-10-26
作者简介: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.
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)；

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

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)；

摘要/Abstract

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

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

中图分类号:

O174.5

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.

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.

[1]	张海燕, 汤获, 李书海, 马丽娜. 利用微分算子定义的某类p-叶解析函数的一些基本性质[J]. 数学季刊, 2018, 33(2): 132-139.
[2]	张晓飞, 闫春燕. 抛物星形映射子族的增长定理和偏差定理[J]. 数学季刊, 2016, 31(2): 211-220.
[3]	卢金, 刘太顺, 王建飞. Cⁿ中k次对称准凸映射在单位多圆柱某方向上的偏差定理[J]. 数学季刊, 2012, 27(4): 475-479.
[4]	王建飞, 刘太顺. Roper-Suffridge算子上的偏差定理下界估计的简单证明[J]. 数学季刊, 2009, 24(1): 108-111.

单位球上α-Bloch映照的Bloch常数

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

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 4

编辑推荐

Metrics

本文评价