Asymptotic sharpness of a Bernstein-type inequality for rational functions in H^{2}

Rachid Zarouf

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arXiv · 1003.0297

Asymptotic sharpness of a Bernstein-type inequality for rational functions in H^{2}

Rachid Zarouf

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Abstract

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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Rachid Zarouf. 2010-03-01. Asymptotic sharpness of a Bernstein-type inequality for rational functions in H^{2}. https://arxiv.org/abs/1003.0297

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