Work

Inequalities for a new hyperbolic type metric

Year: 2025

Type: article

Abstract: We study a new hyperbolic type metric recently introduced by Song and Wang. We present formulas for it in the upper half-space and the unit ball domains and find its sharp inequalities with the hyperbolic metric and the triangular ratio metric. We also improve existing ball inclusion results and give bounds for the distortion of this new metric under conformal and quasiregular mappings.

Source: Complex Analysis and its Synergies

DOI: 10.1007/s40627-025-00151-7

Author: Oona Rainio

Institution: University of Turku

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Suomen Kulttuurirahasto, Magnus Ehrnroothin Säätiö, Turun Yliopisto