On Bloch approximation and the boundedness of integration operator on $H^\infty$

Wayne Stewart Smith, Dmitriy Mikhailovich Stolyarov, Alexander L'vovich Vol'berg · arXiv (Cornell University) · 2016

We obtain a necessary and sufficient condition for the operator of integration to be bounded on $H^\infty$ in a simply connected domain. The main ingredient of the proof is a new result on approximation of Bloch functions.

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