Multiplication operators on weighted Bloch spaces of the first Cartan domains

Let ℜ I ( m , n ) be the first Cartan domain. Motivated by some results of the multiplication operators on the holomorphic function spaces on the unit ball of C n , we study multiplication operators on weighted Bloch spaces of the first Cartan domain and obtain some necessary or sufficient condition...

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Veröffentlicht in:Journal of inequalities and applications Jg. 2020; H. 1; S. 1 - 13
1. Verfasser: Jiang, Zhi-jie
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 01.08.2020
Springer Nature B.V
SpringerOpen
Schlagworte:
Analysis
Analytic functions
Applications of Mathematics
Boundedness
Compactness
Domains
First Cartan domain
Function space
Mathematics
Mathematics and Statistics
Multiplication
Multiplication operator
Operators
Recent Advances in General Inequalities on Pure & Applied Mathematics and Related Areas
Weighted Bloch space
Weighted Bloch space
Multiplication operator
First Cartan domain
Compactness
Boundedness
47B33
42A18
ISSN:1029-242X, 1025-5834, 1029-242X
Online-Zugang:Volltext
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Zusammenfassung:Let ℜ I ( m , n ) be the first Cartan domain. Motivated by some results of the multiplication operators on the holomorphic function spaces on the unit ball of C n , we study multiplication operators on weighted Bloch spaces of the first Cartan domain and obtain some necessary or sufficient conditions for the boundedness and compactness in this paper.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-020-02460-3