关于多复变量 α-Bloch 函数

doi:10.13371/j.cnki.chin.q.j.m.2025.01.009

数学季刊 ›› 2025, Vol. 40 ›› Issue (1): 93-102.doi: 10.13371/j.cnki.chin.q.j.m.2025.01.009

关于多复变量 α-Bloch 函数

Department of Applied Mathematics, Anhui University of Technology, Maanshan 243032, China

收稿日期:2024-02-27 出版日期:2025-03-30 发布日期:2025-03-30
通讯作者: 杨刘 E-mail:yangliu6@ahut.edu.cn
作者简介:ZHU Ting (1997-), female, native of Yuncheng, Shanxi, master student of Anhui University of Technology, engages in complex analysis; YANG Liu (1986-), male, native of Bozhou, Anhui, associate professor of Anhui University of Technology, engages in complex analysis.
基金资助:
Supported by Natural Science Research Project for Colleges and Universities of Anhui Province (Grant No. 2022AH050329); Yunnan Provincial Department of Education Fund (Grant No. 2025J0376).

On α-Bloch Functions in Several Complex Variables

Department of Applied Mathematics, Anhui University of Technology, Maanshan 243032, China

Received:2024-02-27 Online:2025-03-30 Published:2025-03-30
Contact: YANG Liu E-mail:yangliu6@ahut.edu.cn
About author:ZHU Ting (1997-), female, native of Yuncheng, Shanxi, master student of Anhui University of Technology, engages in complex analysis; YANG Liu (1986-), male, native of Bozhou, Anhui, associate professor of Anhui University of Technology, engages in complex analysis.
Supported by:
Supported by Natural Science Research Project for Colleges and Universities of Anhui Province (Grant No. 2022AH050329); Yunnan Provincial Department of Education Fund (Grant No. 2025J0376).

摘要/Abstract

摘要： In this paper, we establish characterizations of α-Bloch functions and little α-Bloch functions on the unit ball as well as the unit polydisk of C^m, which generalize and improve results of Aulaskari-Lappan, Minda, Aulaskari-Wulan, and Wu. Some examples are also given to complement our theory.

关键词: α-Bloch function, Little α-Bloch function, Several complex variables, Partial derivative

Abstract: In this paper, we establish characterizations of α-Bloch functions and little α-Bloch functions on the unit ball as well as the unit polydisk of C^m, which generalize and improve results of Aulaskari-Lappan, Minda, Aulaskari-Wulan, and Wu. Some examples are also given to complement our theory.

Key words: α-Bloch function, Little α-Bloch function, Several complex variables, Partial , derivative

中图分类号:

O174.5

朱婷, 杨刘. 关于多复变量 α-Bloch 函数[J]. 数学季刊, 2025, 40(1): 93-102.

ZHU Ting, YANG Liu. On α-Bloch Functions in Several Complex Variables[J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 93-102.

关于多复变量 α-Bloch 函数

On α-Bloch Functions in Several Complex Variables

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