有界对称域中多谐布洛赫函数和合成算子的特征

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-05-30 DOI:10.1007/s40840-024-01722-3

Shaolin Chen, Hidetaka Hamada

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引用次数: 0

摘要

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。

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

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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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

期刊介绍： This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.