Bloch-to-BMOA compositions on complex balls

Doubtsov, Evgueni

doi:10.1090/S0002-9939-2012-11280-8

Bloch-to-BMOA compositions on complex balls
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by Evgueni Doubtsov

Proc. Amer. Math. Soc. 140 (2012), 4217-4225

DOI: https://doi.org/10.1090/S0002-9939-2012-11280-8

Published electronically: April 12, 2012

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Abstract:

Let $\varphi$ be a holomorphic map between complex unit balls. We characterize those $\varphi$ for which the composition operator $f\mapsto f\circ \varphi$ maps the Bloch space into $\mathrm {BMOA}$.

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