A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Barrlund's distance function and quasiconformal maps
Tekijät: Fujimura M, Mocanu M, Vuorinen M
Kustantaja: TAYLOR & FRANCIS LTD
Julkaisuvuosi: 2020
Journal: Complex Variables and Elliptic Equations
Tietokannassa oleva lehden nimi: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
Lehden akronyymi: COMPLEX VAR ELLIPTIC
Sivujen määrä: 31
ISSN: 1747-6933
eISSN: 1747-6941
DOI: https://doi.org/10.1080/17476933.2020.1751137
Rinnakkaistallenteen osoite: https://arxiv.org/abs/1903.12475
Tiivistelmä
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.
Ladattava julkaisu This is an electronic reprint of the original article. |