A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Quasihyperbolic metric and möbius transformations
Tekijät: Klén R., Vuorinen M., Zhang X.
Kustantaja: AMER MATHEMATICAL SOC
Julkaisuvuosi: 2014
Journal: Proceedings of the American Mathematical Society
Tietokannassa oleva lehden nimi: Proceedings of the American Mathematical Society
Lehden akronyymi: P AM MATH SOC
Artikkelin numero: PII S0002-9939(2013)11765-X
Vuosikerta: 142
Numero: 1
Aloitussivu: 311
Lopetussivu: 322
Sivujen määrä: 12
ISSN: 0002-9939
DOI: https://doi.org/10.1090/S0002-9939-2013-11765-X
Verkko-osoite: http://api.elsevier.com/content/abstract/scopus_id:84886290221
Tiivistelmä
An improved version of the quasiinvariance property of the quasihyperbolic metric under Möbius transformations of the unit ball in R, n ≥ 2, is given, and a quasiinvariance property, sharp in a local sense, of the quasihyperbolic metric under quasiconformal mappings is proved. Finally, several inequalities between the quasihyperbolic metric and other commonly used metrics such as the hyperbolic metric of the unit ball and the chordal metric are established. © 2013 American Mathematical Society.
An improved version of the quasiinvariance property of the quasihyperbolic metric under Möbius transformations of the unit ball in R, n ≥ 2, is given, and a quasiinvariance property, sharp in a local sense, of the quasihyperbolic metric under quasiconformal mappings is proved. Finally, several inequalities between the quasihyperbolic metric and other commonly used metrics such as the hyperbolic metric of the unit ball and the chordal metric are established. © 2013 American Mathematical Society.
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