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arxiv: 1103.5018 · v1 · pith:7RKWSAYGnew · submitted 2011-03-25 · 🧮 math.FA

Application of a Bernstein type inequality to rational interpolation in the Dirichlet space

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keywords inequalitymathbbrationalapplicationbergmanbernsteinbernstein-typedirichlet
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We prove a Bernstein-type inequality involving the Bergman and the Hardy norms, for rational functions in the unit disc \mathbb{D} having at most n poles all outside of \frac{1}{r}\mathbb{D}, 0

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