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THE HILBERT–SCHMIDT NORM OF A COMPOSITION OPERATOR ON THE BERGMAN SPACE
Published online by Cambridge University Press: 02 November 2016
Abstract
We use a generalised Nevanlinna counting function to compute the Hilbert–Schmidt norm of a composition operator on the Bergman space $L_{a}^{2}(\mathbb{D})$ and weighted Bergman spaces $L_{a}^{1}(\text{d}A_{\unicode[STIX]{x1D6FC}})$ when $\unicode[STIX]{x1D6FC}$ is a nonnegative integer.
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- Research Article
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- © 2016 Australian Mathematical Publishing Association Inc.
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