Journal of Operator Theory

Volume 33, Issue 2, Spring 1995 pp. 353-361.

An application of Tauberian theorems to Toeplitz operators

Authors: Boris Korenblum (1) and Kehe Zhu (2)
Author institution:(1) Department of Mathematics and Statistics, State University of New York at Albany, Albany, New York 12222, U.S.A.
(2) Department of Mathematics and Statistics, State University of New York at Albany, Albany, New York 12222, U.S.A.

Summary: We prove two Tauberian theorems and then use them to obtain characterizations of compact Toeplitz operators with radial symbols on the Bergman space of the unit disk.

Keywords: Tauberian theorems, Toeplitz operators, Bergman spaces, Berezin transform.

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