English

Caratheodory convergence and harmonic measure

Complex Variables 2018-05-24 v1 Analysis of PDEs Classical Analysis and ODEs

Abstract

We give several new characterizations of Caratheodory convergence of simply connected domains. We then investigate how different definitions of convergence generalize to the multiply-connected case.

Keywords

Cite

@article{arxiv.1805.08821,
  title  = {Caratheodory convergence and harmonic measure},
  author = {Ilia Binder and Cristobal Rojas and Michael Yampolsky},
  journal= {arXiv preprint arXiv:1805.08821},
  year   = {2018}
}
R2 v1 2026-06-23T02:04:51.072Z