English

On Hilbert lemniscate theorem for a system of continua

Complex Variables 2018-05-29 v1

Abstract

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

Keywords

Cite

@article{arxiv.1805.10932,
  title  = {On Hilbert lemniscate theorem for a system of continua},
  author = {Vladimir Andrievskii},
  journal= {arXiv preprint arXiv:1805.10932},
  year   = {2018}
}