Unique extremality of affine maps on plane domains

Qiliang Luo; Vladimir Marković

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arXiv · 2503.14921

Unique extremality of affine maps on plane domains

Qiliang Luo·Vladimir Marković

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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.

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BibTeX RIS

Qiliang Luo, Vladimir Marković. 2025-03-19. Unique extremality of affine maps on plane domains. https://arxiv.org/abs/2503.14921

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