On higher dimensional Luecking's theorem
Boo Rim CHOE
Source: J. Math. Soc. Japan Volume 61, Number 1
(2009), 213-224.
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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Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1234189033
Digital Object Identifier: doi:10.2969/jmsj/06110213
Mathematical Reviews number (MathSciNet): MR2272876
Zentralblatt MATH identifier: 1162.47027
References
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Mathematical Reviews (MathSciNet): MR2457394
Zentralblatt MATH: 1162.47028
Digital Object Identifier: doi:10.1090/S0002-9947-08-04653-9
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Mathematical Reviews (MathSciNet): MR899655
Zentralblatt MATH: 0618.47018
Digital Object Identifier: doi:10.1016/0022-1236(87)90072-3
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Mathematical Reviews (MathSciNet): MR2373601
Zentralblatt MATH: 1152.47021
Digital Object Identifier: doi:10.1090/S0002-9939-07-09119-8
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Mathematical Reviews (MathSciNet): MR1157815
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