Journal of Operator Theory

Volume 35, Issue 1, Winter 1996 pp. 67-84.

On weak compactness of composition operators on Bergman spaces of several complex variables

Authors: Lang Chen
Author institution:Department of Mathematics, University of California, Irvine, CA 92717, U.S.A.

Summary: Sarason proved that weak compactness of a holomorphic composition operator on H^1 of the unit disc is equivalent to norm compactness. The purpose of this paper is to obtain a result similar to Sarason’s theorem for Bergman spaces over strongly pseudoconvex domains.

Keywords: Weak compactness, composition operator, Bergman spaces.

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