On α-Bloch Functions in Several Complex Variables

ZHU Ting, YANG Liu

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

Chinese Quarterly Journal of Mathematics >

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

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

On α-Bloch Functions in Several Complex Variables

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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.

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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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

Cite this article

ZHU Ting, YANG Liu . On α-Bloch Functions in Several Complex Variables[J]. Chinese Quarterly Journal of Mathematics, 2025 , 40(1) : 93 -102 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.01.009

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