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초록
D. Luecking has recently proved that a Toeplitz operator with measure symbol on the Bergman space of unit disk has finite rank if and only if its symbols is a linear combination of point masses. In this note we extend this theorem to higher dimensional cases.
키워드
Toeplitz operator; Bergman space; finite rank; TOEPLITZ-OPERATORS
- 제목
- On higher dimensional Luecking's theorem
- 저자
- Choe, Boo Rim
- 발행일
- 2009-01
- 유형
- Article
- 권
- 61
- 호
- 1
- 페이지
- 213 ~ 224