Quasihyperbolic metric and Möbius transformations
Quasihyperbolic metric and Möbius transformations
An improved version of the quasiinvariance property of the quasi- hyperbolic metric under Möbius transformations of the unit ball in ${\mathbb R}^n, n \ge 2,$ 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 …