[1]陈娇,胡春英.上半平面上α-Bloch空间的刻画[J].华侨大学学报(自然科学版),2025,46(4):476-480.[doi:10.11830/ISSN.1000-5013.202407035]
　CHEN Jiao,HU Chunying.Characterization of α-Bloch Space on Upper Half-Plane[J].Journal of Huaqiao University(Natural Science),2025,46(4):476-480.[doi:10.11830/ISSN.1000-5013.202407035]
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上半平面上α-Bloch空间的刻画()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第46卷
期数:
2025年第4期
页码:
476-480
栏目:
出版日期:
2025-07-16

文章信息/Info

Title:
Characterization of α-Bloch Space on Upper Half-Plane
文章编号:
1000-5013(2025)04-0476-05
作者:
陈娇;  胡春英
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
CHEN Jiao;  HU Chunying
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
上半平面;  Bloch空间;  α-Bloch函数;  α-Bloch空间
Keywords:
upper half-plane;  Bloch space;  α-Bloch function;  α-Bloch space
分类号:
O174.56
DOI:
10.11830/ISSN.1000-5013.202407035
文献标志码:
A
摘要:
利用Schwarz-Pick引理,得到上半平面上Bloch空间的性质。给出0<α≤2条件下上半平面上α-Bloch空间的一个刻画,并借助具体实例验证结论的正确性。结果表明:文中结果将已有的有界区域上的相应结果推广至无界区域上。
Abstract:
The property of the Bloch space on the upper half-plane is obtained by using Schwarz-Pick lemma. One characterization of α-Bloch space on the upper half-plane under the condition of 0<α≤2 is given, and the conclusion is verified by specific examples. The results show that the proposed results extend the corresponding results on existing bounded domain to unbounded domain.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2024-07-29
通信作者: 胡春英(1979-),女,讲师,主要从事复分析的研究。E-mail:huchunying_79@sina.com。
基金项目: 国家自然科学基金资助项目(12071161); 福建省自然科学基金资助项目(2023J01127)
更新日期/Last Update: 2025-07-20