Complex symmetric Toeplitz operators on the weighted Bergman space
- 주제(키워드) 47B15 , Complex symmetric operator , normal operator , Primary 47B35 , Secondary 47A05 , Toeplitz operator , weighted Bergman space
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Taylor and Francis Ltd.
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000193425
- 본문언어 영어
- Published As https://doi.org/10.1080/17476933.2021.1882431
초록/요약
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.
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