On Hilbert lemniscate theorem for a system of continua

zbMATH Open1423.30005arXiv1805.10932MaRDI QIDQ5241449

V. V. Andrievskii

Publication date: 31 October 2019

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 $K$.

Full work available at URL: https://arxiv.org/abs/1805.10932

zbMATH Keywords

Green's functionequilibrium measureHilbert's theorem

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Polynomials and rational functions of one complex variable (30C10) Quasiconformal mappings in the complex plane (30C62)

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