English

Quasisymmetric Koebe uniformization with weak metric doubling measures

Complex Variables 2021-07-29 v2

Abstract

We give a characterization of metric spaces quasisymmetrically equivalent to a finitely connected circle domain. This result generalizes the uniformization of Ahlfors 2-regular spaces by Merenkov and Wildrick.

Keywords

Cite

@article{arxiv.2005.01700,
  title  = {Quasisymmetric Koebe uniformization with weak metric doubling measures},
  author = {Kai Rajala and Martti Rasimus},
  journal= {arXiv preprint arXiv:2005.01700},
  year   = {2021}
}