Unique extremality of affine maps on plane domains

2025/03/19 by Luo, Qiliang, Marković, Vladimir
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.14921

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 \citemarkovic. We construct the required Reich sequence using Bergman projections, and meromorphic partitions of unity.

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