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COMPOSITION OPERATORS BELONGING TO SCHATTEN CLASS 𝒮p
Published online by Cambridge University Press: 17 March 2010
Abstract
We investigate the composition operators Cφ acting on the Bergman space of the unit disc D, where φ is a holomorphic self-map of D. Some new conditions for Cφ to belong to the Schatten class 𝒮p are obtained. We also construct a compact composition operator which does not belong to any Schatten class.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2010
Footnotes
Supported in part by the National Natural Science Foundation of China (grants 10971153, 10671141).
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