Koebe uniformization of nondegenerate domains with bounded gap-ratio
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917742835138560 |
|---|---|
| author | Zhong, Yi |
| author_facet | Zhong, Yi |
| contents | Koebe uniformization is a fundemental problem in complex analysis. In this paper, we use transboundary extremal length to show that every nondegenerate and uncountably connected domain with bounded gap-ratio is conformally homeomorphic to a circle domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03484 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Koebe uniformization of nondegenerate domains with bounded gap-ratio Zhong, Yi Complex Variables Primary 30C20, Secondary 30C35 Koebe uniformization is a fundemental problem in complex analysis. In this paper, we use transboundary extremal length to show that every nondegenerate and uncountably connected domain with bounded gap-ratio is conformally homeomorphic to a circle domain. |
| title | Koebe uniformization of nondegenerate domains with bounded gap-ratio |
| topic | Complex Variables Primary 30C20, Secondary 30C35 |
| url | https://arxiv.org/abs/2408.03484 |