Triangular Ratio Metric Under Quasiconformal Mappings in Sector Domains



: Rainio Oona, Vuorinen Matti

Publisher: SPRINGER HEIDELBERG

: 2023

Computational Methods and Function Theory

COMPUTATIONAL METHODS AND FUNCTION THEORY

: COMPUT METH FUNCT TH

: 25

: 1617-9447

: 2195-3724

DOI: https://doi.org/10.1007/s40315-022-00447-3

: https://link.springer.com/article/10.1007/s40315-022-00447-3

: https://research.utu.fi/converis/portal/detail/Publication/175155429


The hyperbolic metric and different hyperbolic type metrics are studied in open sector domains of the complex plane. Several sharp inequalities are proven for them. Our main result describes the behavior of the triangular ratio metric under quasiconformal maps from one sector onto another one.

Last updated on 2024-26-11 at 13:26