The Essential Norm of a Composition
Operator
Joel H. Shapiro
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Joel H. Shapiro |
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| Abstract: The essential norm of a composition operator on the Hardy space H^2 is expressed as the asymptotic upper bound of a quantity involving the Nevanlinna counting function of the inducing map. There results a complete function theoretic characterization of compact composition operators on H^2, with similar results holding for the standard-weighted Bergman spaces of the unit disc. |
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