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초록
It has been known that the difference of two composition operators induced by linear fractional self-maps of a ball cannot be nontrivially compact on either the Hardy space or any standard weighted Bergman space. In this paper we extend this result in two significant directions: the difference is extended to general linear combinations and inducing maps are extended to linear fractional maps taking a ball into another possibly of different dimension.
키워드
Linear combination of composition operators; Linear fractional map; Compact operator; Hardy space; Weighted Bergman space; BERGMAN SPACES; UNIT BALL; DIFFERENCE
- 제목
- Compact linear combinations of composition operators induced by linear fractional maps
- 저자
- Choe, Boo Rim; Koo, Hyungwoon; Wang, Maofa; Yang, Jongho
- 발행일
- 2015-08
- 유형
- Article
- 권
- 280
- 호
- 3-4
- 페이지
- 807 ~ 824