Journal article

Toeplitz operators on the Bergman space of the unit ball

R Raimondo

Bulletin of the Australian Mathematical Society | Published : 2000

Abstract

We prove that if an operator A is a finite sum of finite products of Toeplitz operators on the Bergman space of the unit ball Bn, then A is compact if and only if its Berezin transform vanishes at the boundary. For n = 1 the result was obtained by Axler and Zheng in 1997.

University of Melbourne Researchers

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