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Journal of Operator Theory

Volume 48, Issue 1, Summer 2002  pp. 105-119.

Schatten class composition operators on planar domains

Authors:  Vinh-Thy M. Tran
Author institution: Department of Mathematics, Vassar College, 124 Raymond Ave., Poughkeepsie, NY 12604, USA

Summary:  We extend to finitely connected planar domains a result of Kehe Zhu which characterizes the Schatten class composition operators on the Hardy space of the disc. In the process, we characterize the positive compact and Schatten class Toeplitz operators on a weighted Bergman space.

Keywords:  Compact composition operator, planar domains, Hardy space

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