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초록
On the Bergman space of the unit disk, we consider a class of operators which contain sums of finitely many Toeplitz products with harmonic symbols. We give characterizations of when an operator in that class has finite rank or is compact. Our results provide a unified way of treating several known results.
키워드
Toeplitz operators; Bergman space; finite rank operators; PLURIHARMONIC SYMBOLS; BEREZIN TRANSFORM; OPERATORS; POLYDISK
- 제목
- Sums of Toeplitz products with harmonic symbols
- 저자
- Choe, Boo Rim; Koo, Hyungwoon; Lee, Young Joo
- 발행일
- 2008
- 유형
- Article
- 권
- 24
- 호
- 1
- 페이지
- 43 ~ 70