关于多复变量 α-Bloch 函数

朱婷, 杨刘

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

数学季刊 >

2025 , Vol. 40 >Issue 1: 93 - 102

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.01.009

关于多复变量 α-Bloch 函数

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

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.

收稿日期: 2024-02-27

网络出版日期: 2025-03-30

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).

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On α-Bloch Functions in Several Complex Variables

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

YANG Liu (1986-), male, native of Bozhou, Anhui, associate professor of Anhui University of Technology, engages in complex analysis.

Received date: 2024-02-27

Online published: 2025-03-30

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).

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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

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朱婷, 杨刘 . 关于多复变量 α-Bloch 函数[J]. 数学季刊, 2025 , 40(1) : 93 -102 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.01.009

Abstract

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

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