On Hilbert lemniscate theorem for a system of continua

Vladimir Andrievskii

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arXiv · 1805.10932

On Hilbert lemniscate theorem for a system of continua

Vladimir Andrievskii

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Abstract

Let $K$ be a compact set in the complex plane consisting of a finite number of continua. We study the rate of approximation of $K$ from the outside by lemniscates in terms of level lines of the Green function for the complement of $K$.

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Vladimir Andrievskii. 2018-05-28. On Hilbert lemniscate theorem for a system of continua. https://arxiv.org/abs/1805.10932

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