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On higher dimensional Luecking's theorem
- Authors
- Choe, Boo Rim
- Issue Date
- 1월-2009
- Publisher
- MATH SOC JAPAN
- Keywords
- Toeplitz operator; Bergman space; finite rank
- Citation
- JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, v.61, no.1, pp.213 - 224
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
- Volume
- 61
- Number
- 1
- Start Page
- 213
- End Page
- 224
- ISSN
- 0025-5645
- Abstract
- 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.
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