Journal article

Toeplitz operators on the Bergman space of the unit ball

R Raimondo

Bulletin of the Australian Mathematical Society | AUSTRALIAN MATHEMATICS PUBL ASSOC INC | 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 B , 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. n

University of Melbourne Researchers