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arXiv · 1705.05930

Univalent functions in model spaces: revisited

Anton Baranov·Yurii Belov·Alexander Borichev·Konstantin Fedorovskiy
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Abstract

Motivated by a problem in approximation theory, we find a necessary and sufficient condition for a model (backward shift invariant) subspace $K_\varTheta = H^2\ominus \varTheta H^2$ of the Hardy space $H^2$ to contain a bounded univalent function.

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Anton Baranov, Yurii Belov, Alexander Borichev, Konstantin Fedorovskiy. 2017-05-16. Univalent functions in model spaces: revisited. https://arxiv.org/abs/1705.05930

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