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January, 2009 On higher dimensional Luecking's theorem
Boo Rim CHOE
J. Math. Soc. Japan 61(1): 213-224 (January, 2009). DOI: 10.2969/jmsj/06110213

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.

Citation

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Boo Rim CHOE. "On higher dimensional Luecking's theorem." J. Math. Soc. Japan 61 (1) 213 - 224, January, 2009. https://doi.org/10.2969/jmsj/06110213

Information

Published: January, 2009
First available in Project Euclid: 9 February 2009

zbMATH: 1162.47027
MathSciNet: MR2272876
Digital Object Identifier: 10.2969/jmsj/06110213

Subjects:
Primary: ‎46E20‎ , 47B35
Secondary: ‎32A36‎

Keywords: Bergman space , finite rank , Toeplitz operator

Rights: Copyright © 2009 Mathematical Society of Japan

Vol.61 • No. 1 • January, 2009
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