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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.

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