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arxiv: 1705.05930 · v2 · pith:DTNFZ5F7new · submitted 2017-05-16 · 🧮 math.CV

Univalent functions in model spaces: revisited

classification 🧮 math.CV
keywords modelunivalentvarthetaapproximationbackwardboundedconditioncontain
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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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