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arxiv: 1003.0297 · v3 · pith:P44KNTOTnew · submitted 2010-03-01 · 🧮 math.FA

Asymptotic sharpness of a Bernstein-type inequality for rational functions in H²

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keywords mathbbbernstein-typefunctionsinequalityrationalasymptoticdiscfrac
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A Bernstein-type inequality in the standard Hardy space H^{2} of the unit disc \mathbb{D}=\{z\in\mathbb{C}:\,|z|<1\}, for rational functions in \mathbb{D} having at most n poles all outside of \frac{1}{r}\mathbb{D}, 0

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