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Composition operators over weighted Bergman spaces of Dirichlet series.
- Source :
- Complex Variables & Elliptic Equations; May2024, Vol. 69 Issue 5, p795-815, 21p
- Publication Year :
- 2024
-
Abstract
- In the paper 'Composition operators on weighted Bergman spaces of Dirichlet series. J Math Anal Appl. 2015;426:340–363', Bailleul completely characterized the boundedness of composition operators on weighted Bergman spaces of Dirichlet series for the case of symbols with $ c_0\ge 1 $ c 0 ≥ 1. But the sufficient conditions for the other case $ c_0=0 $ c 0 = 0 were unsolved. In this paper, we follow this line and study the boundedness of composition operators on weighted Bergman spaces of Dirichlet series for the case $ c_0=0 $ c 0 = 0. Moreover, we also obtain the compact characterizations of composition operators with $ c_0\geq 1 $ c 0 ≥ 1. [ABSTRACT FROM AUTHOR]
- Subjects :
- DIRICHLET series
COMPOSITION operators
BERGMAN spaces
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 17476933
- Volume :
- 69
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Complex Variables & Elliptic Equations
- Publication Type :
- Academic Journal
- Accession number :
- 176985547
- Full Text :
- https://doi.org/10.1080/17476933.2022.2161530