A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä

Inequalities for a new hyperbolic type metric




TekijätRainio, Oona

KustantajaSpringer Science and Business Media LLC

Julkaisuvuosi2025

JournalComplex Analysis and its Synergies

Tietokannassa oleva lehden nimiComplex Analysis and its Synergies

Artikkelin numero3

Vuosikerta11

Numero2

ISSN2524-7581

eISSN2197-120X

DOIhttps://doi.org/10.1007/s40627-025-00151-7

Verkko-osoitehttps://doi.org/10.1007/s40627-025-00151-7

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/491703735


Tiivistelmä
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.

Ladattava julkaisu

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.




Julkaisussa olevat rahoitustiedot
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.


Last updated on 2025-06-05 at 14:25