A1 Refereed original research article in a scientific journal

Remarks on the Scale-Invariant Cassinian Metric



Authors: Gendi Wang, Xiaoxue Xu, Matti Vuorinen

Publisher: MALAYSIAN MATHEMATICAL SCIENCES SOC

Publication year: 2020

Journal: Bulletin of the Malaysian Mathematical Sciences Society

Journal name in source: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

Journal acronym: B MALAYS MATH SCI SO

Number of pages: 19

ISSN: 0126-6705

eISSN: 2180-4206

DOI: https://doi.org/10.1007/s40840-020-01011-9

Self-archived copy’s web address: https://arxiv.org/abs/1903.09099


Abstract
We study the geometry of the scale-invariant Cassinian metric and prove sharp comparison inequalities between this metric and the hyperbolic metric in the case when the domain is either the unit ball or the upper half space. We also prove sharp distortion inequalities for the scale-invariant Cassinian metric under Mobius transformations.



Last updated on 2024-26-11 at 22:18