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Boundedness from below of composition operators on the bloch spaces

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Abstract

This paper proves that a necessary condition for a composition operator on the Bloch space of the unit disk to be bounded below given by Ghatage, Yan and Zheng is also sufficient. Given furthermore are a sufficient condition and a necessary condition of the boundedness from below for a composition operator on the Bloch space of a unit ball with dimensions bigger than one.

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Correspondence to Huaihui Chen.

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Chen, H. Boundedness from below of composition operators on the bloch spaces. Sci. China Ser. A-Math. 46, 838–846 (2003). https://doi.org/10.1360/02ys0212

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  • DOI: https://doi.org/10.1360/02ys0212

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