On higher dimensional Luecking's theorem
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.
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