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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2503.14921 |
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| _version_ | 1866915204534632448 |
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| author | Luo, Qiliang Marković, Vladimir |
| author_facet | Luo, Qiliang Marković, Vladimir |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14921 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unique extremality of affine maps on plane domains Luo, Qiliang Marković, Vladimir Complex Variables 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. |
| title | Unique extremality of affine maps on plane domains |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2503.14921 |