A1 Refereed original research article in a scientific journal
Barrlund's distance function and quasiconformal maps
Authors: Fujimura M, Mocanu M, Vuorinen M
Publisher: TAYLOR & FRANCIS LTD
Publication year: 2020
Journal: Complex Variables and Elliptic Equations
Journal name in source: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
Journal acronym: COMPLEX VAR ELLIPTIC
Number of pages: 31
ISSN: 1747-6933
eISSN: 1747-6941
DOI: https://doi.org/10.1080/17476933.2020.1751137
Self-archived copy’s web address: https://arxiv.org/abs/1903.12475
Abstract
Answering a question about triangle inequality suggested by R. Li, Barrlund [The p-relative distance is a metric. SIAM J Matrix Anal Appl. 1999;21:699.702] introduced a distance function which is a metric on a subdomain of We study this Barrlund metric and give sharp bounds for it in terms of other metrics of current interest. We also prove sharp distortion results for the Barrlund metric under quasiconformal maps.
Answering a question about triangle inequality suggested by R. Li, Barrlund [The p-relative distance is a metric. SIAM J Matrix Anal Appl. 1999;21:699.702] introduced a distance function which is a metric on a subdomain of We study this Barrlund metric and give sharp bounds for it in terms of other metrics of current interest. We also prove sharp distortion results for the Barrlund metric under quasiconformal maps.
Downloadable publication This is an electronic reprint of the original article. |  |
UTU Research Portal