A1 Refereed original research article in a scientific journal
Lipschitz Conditions and the Distance Ratio Metric
Authors: Simic S, Vuorinen M
Publisher: Univ Nis, Fac Sci Math
Publication year: 2015
Journal: Filomat
Journal name in source: FILOMAT
Journal acronym: Filomat
Volume: 29
Issue: 9
First page : 2137
Last page: 2146
Number of pages: 10
ISSN: 0354-5180
DOI: https://doi.org/10.2298/FIL1509137S
Web address : http://www.pmf.ni.ac.rs/filomat
Abstract
We give a study of the Lipschitz continuity of Mobius transformations of a punctured ball onto another punctured ball in R-n with respect to the distance ratio metric. Some subtle methods are developed, helping to determine the best possible j-Lip constant in this case.