On higher dimensional Luecking's theorem

  • Choe, Boo Rim
Citations

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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 operatorBergman spacefinite rankTOEPLITZ-OPERATORS
제목
On higher dimensional Luecking's theorem
저자
Choe, Boo Rim
DOI
10.2969/jmsj/06110213
발행일
2009-01
유형
Article
저널명
Journal of the Mathematical Society of Japan
61
1
페이지
213 ~ 224