Multiplication Operators on Weighted Zygmund Spaces of the First Cartan Domain

Inspired by some recent studies of the multiplication operators on holomorphic function spaces of the classical domains such as the open unit disk, the unit ball and the unit polydisk, the purpose of the present paper is to study just the operators that are defined on weighted Zygmund spaces of the...

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Bibliographic Details
Published in:Axioms Vol. 12; no. 12; p. 1131
Main Author: Jiang, Zhi-Jie
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.12.2023
Subjects:
Analytic functions
Banach spaces
boundedness
compactness
Eigenvalues
first Cartan domain
Function space
Mathematical research
multiplication operator
Operator theory
Operators
Topological spaces
weighted Zygmund space
China
ISSN:2075-1680, 2075-1680
Online Access:Get full text
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Summary:Inspired by some recent studies of the multiplication operators on holomorphic function spaces of the classical domains such as the open unit disk, the unit ball and the unit polydisk, the purpose of the present paper is to study just the operators that are defined on weighted Zygmund spaces of the first Cartan domain. We obtain some necessary conditions and sufficient conditions for the operators to be bounded and compact.
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ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12121131