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Barrlund's distance function and quasiconformal maps




TekijätFujimura M, Mocanu M, Vuorinen M

KustantajaTAYLOR & FRANCIS LTD

Julkaisuvuosi2020

JournalComplex Variables and Elliptic Equations

Tietokannassa oleva lehden nimiCOMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Lehden akronyymiCOMPLEX VAR ELLIPTIC

Sivujen määrä31

ISSN1747-6933

eISSN1747-6941

DOIhttps://doi.org/10.1080/17476933.2020.1751137

Rinnakkaistallenteen osoitehttps://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.

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