On the harmonic measure and capacity of rational lemniscates
Complex Variables
2015-10-29 v1
Abstract
We study the lemniscates of rational maps. We prove a reflection principle for the harmonic measure of rational lemniscates and we give estimates for their capacity and the capacity of their components. Also, we prove a version of Schwarz's lemma for the capacity of the lemniscates of proper holomorphic functions.
Keywords
Cite
@article{arxiv.1510.08124,
title = {On the harmonic measure and capacity of rational lemniscates},
author = {Stamatis Pouliasis and Thomas Ransford},
journal= {arXiv preprint arXiv:1510.08124},
year = {2015}
}