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자연과학대학
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Complex symmetric Toeplitz operators on the weighted Bergman space
Title
Complex symmetric Toeplitz operators on the weighted Bergman space
Authors
Ko E.
;
Lee J.E.
;
Lee J.
Ewha Authors
고응일
SCOPUS Author ID
고응일
Issue Date
2022
Journal Title
Complex Variables and Elliptic Equations
ISSN
1747-6933
Citation
Complex Variables and Elliptic Equations vol. 67, no. 6, pp. 1393 - 1408
Keywords
47B15
;
Complex symmetric operator
;
normal operator
;
Primary 47B35
;
Secondary 47A05
;
Toeplitz operator
;
weighted Bergman space
Publisher
Taylor and Francis Ltd.
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
In this paper, we give a characterization of a complex symmetric Toeplitz operator (Formula presented.) on the weighted Bergman space (Formula presented.). We first give properties of complex symmetric Toeplitz operators (Formula presented.) on (Formula presented.). Next, we prove that if (Formula presented.) is complex symmetric with finite symbol, then (Formula presented.) is hyponormal on (Formula presented.) if and only if it is hyponormal on the Hardy space (Formula presented.). Finally, we consider the complex symmetric Toeplitz operator (Formula presented.) on (Formula presented.) when the conjugation is a special case. © 2021 Informa UK Limited, trading as Taylor & Francis Group.
DOI
10.1080/17476933.2021.1882431
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