Geodesic
Composition operators between Bloch and $\mathrm{BMOA}$ spaces on polydisks
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 44, Tome 447 (2016), pp. 51-65
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Let $\varphi$ be a holomorphic map between polydisks. We characterize those $\varphi$ for which the composition operator $f\mapsto f\circ\varphi$ maps the Bloch space into the small $\mathrm{BMOA}$ space. 
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     title = {Composition operators between {Bloch} and $\mathrm{BMOA}$ spaces on polydisks},
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E. S. Dubtsov. Composition operators between Bloch and $\mathrm{BMOA}$ spaces on polydisks. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 44, Tome 447 (2016), pp. 51-65. http://geodesic.mathdoc.fr/item/ZNSL_2016_447_a3/

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