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Some Characterizations for Composition Operators on the Fock Space

preprint2016arXivOpen access
Liangying JiangGabriel T. PrajituraRuhan Zhao
math.CV
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Abstract

We study composition operators on the Fock spaces Fα2(Cn)\mathcal{F}^2_α(\mathbb{C}^n), problems considered include the essential norm, normality, spectra, cyclicity and membership in the Schatten classes. We give perfect answers for these basic properties, which present lots of different characterizations with the composition operators on the Hardy space or the weighted Bergman spaces.

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