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수리과학연구소
Journal papers
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Difference of Weighted Composition Operators Over the Ball
Title
Difference of Weighted Composition Operators Over the Ball
Authors
Choe
;
Boo Rim
;
Choi
;
Koeun
;
Koo
;
Hyungwoon
;
Park
;
Inyoung
Ewha Authors
박인영
SCOPUS Author ID
박인영
Issue Date
2024
Journal Title
Complex Analysis and Operator Theory
ISSN
1661-8254
Citation
Complex Analysis and Operator Theory vol. 18, no. 2
Keywords
Bergman space
;
Boundedness
;
Carleson measure
;
Compactness
;
Difference
;
Primary 47B33
;
Reproducing Kernel Thesis
;
Secondary 32A36
;
Weighted composition operator
Publisher
Birkhauser
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
Recently, Choe et al. obtained characterizations for bounded/compact differences of weighted composition operators acting from a standard weighted Bergman space into another over the unit disk. In this paper we extend those results to the ball setting. By devising a new approach regarding test functions, we improve the characterizations as well as the proofs. Namely, the Reproducing Kernel Thesis is added to the characterizations and our proofs, when restricted to the disk, are new and simpler. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.
DOI
10.1007/s11785-023-01477-y
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