Unique extremality of affine maps on plane domains
We prove that affine maps are uniquely extremal quasiconformal maps on the complement of a well distributed set in the complex plane answering a conjecture from Marković (2002). We construct the required Reich sequence using Bergman projections, and meromorphic partitions of unity.
Authors
- Qiliang Luo
- Vladimir Marković (ORCID: https://orcid.org/0000-0002-6545-5263)
Institutions
- Tsinghua University (CN)
Publication Details
- Journal
- Annales Fennici Mathematici
- Published
- 2025-05-14
- DOI
- https://doi.org/10.54330/afm.161692
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00