A1 Refereed original research article in a scientific journal

Triangular ratio metric in the unit disk



Authors: Rainio Oona, Vuorinen Matti

Publisher: Taylor & Francis Ltd

Publication year: 2022

Journal: Complex Variables and Elliptic Equations

Journal name in source: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Journal acronym: COMPLEX VAR ELLIPTIC

Volume: 67

Issue: 6

First page : 1299

Last page: 1325

Number of pages: 27

ISSN: 1747-6933

eISSN: 1747-6941

DOI: https://doi.org/10.1080/17476933.2020.1870452

Web address : https://doi.org/10.1080/17476933.2020.1870452

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/53310663


Abstract

The triangular ratio metric is studied in a domain G subset of Rn, n >= 2. 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 Holder continuity of quasiconformal mappings.


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Last updated on 2024-26-11 at 16:07