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Formulas for the Visual Angle Metric




TekijätFujimura, Masayo; Kargar, Rahim; Vuorinen, Matti

KustantajaSpringer

Julkaisuvuosi2025

JournalJournal of Geometric Analysis

Artikkelin numero322

Vuosikerta35

ISSN1050-6926

eISSN1559-002X

DOIhttps://doi.org/10.1007/s12220-025-02150-w

Verkko-osoitehttps://link.springer.com/article/10.1007/s12220-025-02150-w

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/499395463


Tiivistelmä

We prove several new formulas for the visual angle metric of the unit disk in terms of the hyperbolic metric and apply these to prove a sharp Schwarz lemma for the visual angle metric under 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
The first author was partially supported by JSPS KAKENHI Grant Numbers JP19K03531, JP25K07039. The research of the second author was supported by a grant from Vilho, Yrjö and Kalle Väisälä fund.
Open Access funding provided by University of Turku (including Turku University Central Hospital).


Last updated on 2025-21-08 at 08:08