On Hilbert lemniscate theorem for a system of continua

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 $K$.

References in corpus (1)

• On the Totik-Widom property for a Quasidisk