Triangular ratio metric in the unit disk
Year: 2021
Type: article
Abstract: The triangular ratio metric is studied in a domain $G\subsetneq\mathbb{R}^n$, $n\geq2$. Several sharp bounds are proven for this metric, especially, in the case where the domain is the unit disk of the complex plane. The results are applied to study the Hölder continuity of quasiconformal mappings.
Authors: Oona Rainio, Matti Vuorinen
Institution: University of Turku
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Funder: Suomalainen Konkordia-liitto
OpenAlex ID: W3082454761