On Asymptotically Symmetric Embeddings and Conformal Maps

Fuente: arXiv
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Auteurs principaux: Andoni, Ylli, Yang, Shanshuang
Format: Preprint
Publié: 2025
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author Andoni, Ylli
Yang, Shanshuang
author_facet Andoni, Ylli
Yang, Shanshuang
contents This paper is devoted to the study of conformal maps of the unit disk $\mathbb{D}$ in the plane onto a bounded Jordan domain $G$. The main aim is to show that such a map is asymptotically symmetric if and only if $G$ is bounded by a symmetric quasicircle.
format Preprint
id arxiv_https___arxiv_org_abs_2509_01528
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Asymptotically Symmetric Embeddings and Conformal Maps
Andoni, Ylli
Yang, Shanshuang
Complex Variables
Primary 30C20, 30C62, Secondary 30C35
This paper is devoted to the study of conformal maps of the unit disk $\mathbb{D}$ in the plane onto a bounded Jordan domain $G$. The main aim is to show that such a map is asymptotically symmetric if and only if $G$ is bounded by a symmetric quasicircle.
title On Asymptotically Symmetric Embeddings and Conformal Maps
topic Complex Variables
Primary 30C20, 30C62, Secondary 30C35
url https://arxiv.org/abs/2509.01528