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Characterizations of Pluriharmonic Bloch Functions and Composition Operators in Bounded Symmetric Domains

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成果类型:
期刊论文
作者:
Chen, Shaolin;Hamada, Hidetaka
通讯作者:
Hamada, H
作者机构:
[Chen, Shaolin] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421008, Hunan, Peoples R China.
[Hamada, Hidetaka] Kyushu Sangyo Univ, Fac Sci & Engn, 3-1 Matsukadai 2-Chome,Higashi Ku, Fukuoka 8138503, Japan.
通讯机构:
[Hamada, H ] K
Kyushu Sangyo Univ, Fac Sci & Engn, 3-1 Matsukadai 2-Chome,Higashi Ku, Fukuoka 8138503, Japan.
语种:
英文
关键词:
Bloch space;Bounded symmetric domains;Composition operator;JB*-triple;The Kobayashi metric;Pluriharmonic function
期刊:
Bulletin of the Malaysian Mathematical Sciences Society
ISSN:
0126-6705
年:
2024
卷:
47
期:
4
页码:
1-17
基金类别:
The research of the first author was partly supported by the National Science Foundation of China (grant no. 12071116), the Hunan Provincial Natural Science Foundation of China (grant no. 2022JJ10001), the Key Projects of Hunan Provincial Department of Education (grant no. 21A0429); the Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469), the Science and Technology Plan Project of Hunan Province (2016TP1020), and the Discipline Special Research Projects of Hengyang Normal University (XKZX21002); The research of the second author was partly supported by JSPS KAKENHI Grant Number JP22K03363.
机构署名:
本校为第一机构
院系归属:
数学与统计学院
摘要:
Let BX\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {B}_X$$\end{document} be a bounded symmetric domain realized as the open unit ball of a JB*-triple X. First, we extend the definition for pluriharmonic Bloch functions to BX\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setl...

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