Unique extremality of affine maps on plane domains
Complex Variables
2025-03-20 v1
Abstract
We prove that affine maps are uniquely extremal quasiconformal maps on the complement of a well distribute set in the complex plane answering a conjecture from \cite{markovic}. We construct the required Reich sequence using Bergman projections, and meromorphic partitions of unity.
Cite
@article{arxiv.2503.14921,
title = {Unique extremality of affine maps on plane domains},
author = {Qiliang Luo and Vladimir Marković},
journal= {arXiv preprint arXiv:2503.14921},
year = {2025}
}