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

Let 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 B X by using the infinitesimal Kobayashi metric. Next, we develop some methods to investigate Bloch functions, and composition operators of pl...

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Bibliographic Details
Published inBulletin of the Malaysian Mathematical Sciences Society Vol. 47; no. 4
Main Authors Chen, Shaolin, Hamada, Hidetaka
Format Journal Article
LanguageEnglish
Published Singapore Springer Nature Singapore 01.07.2024
Springer Nature B.V
Subjects
Applications of Mathematics
Composition
Harmonic functions
Mathematics
Mathematics and Statistics
Operators
Pluriharmonic function
32M15
Primary: 31C10
Composition operator
47B33
JB-triple
The Kobayashi metric
Bloch space
Bounded symmetric domains
32A18
Secondary: 30H30
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Summary:Let 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 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.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-024-01722-3