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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-05-30 DOI:10.1007/s40840-024-01722-3

Shaolin Chen, Hidetaka Hamada

引用次数: 0

Abstract

Let \(\mathbb {B}_X\) 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 \(\mathbb {B}_X\) by using the infinitesimal Kobayashi metric. Next, we develop some methods to investigate Bloch functions, and composition operators of pluriharmonic Bloch spaces on bounded symmetric domains. The obtained results provide the improvements and extensions of the corresponding known results.

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有界对称域中多谐布洛赫函数和合成算子的特征

让 \(\mathbb {B}_X\) 是一个有界对称域，作为 JB* 三元 X 的开单位球实现。首先，我们通过使用无穷小小林度量将多谐布洛赫函数的定义扩展到 \(\mathbb {B}_X\) 上。接下来，我们开发了一些方法来研究有界对称域上的布洛赫函数和多谐布洛赫空间的组成算子。所获得的结果提供了相应已知结果的改进和扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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