A1 Refereed original research article in a scientific journal
Möbius metric in sector domains
Authors: Rainio Oona, Vuorinen Matti
Publisher: SPRINGER HEIDELBERG
Publication year: 2023
Journal: Czechoslovak Mathematical Journal
Journal name in source: CZECHOSLOVAK MATHEMATICAL JOURNAL
Journal acronym: CZECH MATH J
Number of pages: 24
ISSN: 0011-4642
eISSN: 1572-9141
DOI: https://doi.org/10.21136/CMJ.2022.0050-22
Web address : https://articles.math.cas.cz/10.21136/CMJ.2022.0050-22
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/177157224
Abstract
The Mobius metric delta(G) is studied in the cases, where its domain G is an open sector of the complex plane. We introduce upper and lower bounds for this metric in terms of the hyperbolic metric and the angle of the sector, and then use these results to find bounds for the distortion of the Mobius metric under quasiregular mappings defined in sector domains. Furthermore, we numerically study the Mobius metric and its connection to the hyperbolic metric in polygon domains.
The Mobius metric delta(G) is studied in the cases, where its domain G is an open sector of the complex plane. We introduce upper and lower bounds for this metric in terms of the hyperbolic metric and the angle of the sector, and then use these results to find bounds for the distortion of the Mobius metric under quasiregular mappings defined in sector domains. Furthermore, we numerically study the Mobius metric and its connection to the hyperbolic metric in polygon domains.
Downloadable publication This is an electronic reprint of the original article. |  |
UTU Research Portal