A1 Refereed original research article in a scientific journal
Inequalities for a new hyperbolic type metric
Authors: Rainio, Oona
Publisher: Springer Science and Business Media LLC
Publication year: 2025
Journal: Complex Analysis and its Synergies
Journal name in source: Complex Analysis and its Synergies
Article number: 3
Volume: 11
Issue: 2
ISSN: 2524-7581
eISSN: 2197-120X
DOI: https://doi.org/10.1007/s40627-025-00151-7(external)
Web address : https://doi.org/10.1007/s40627-025-00151-7(external)
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/491703735(external)
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.
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Funding information in the publication:
Open Access funding provided by University of Turku (including Turku University Central Hospital). My research was funded by Magnus Ehrnrooth Foundation and the Finnish Cultural Foundation.
