A1 Refereed original research article in a scientific journal

Intrinsic metrics in polygonal domains



Authors: Dautova Dina, Kargar Rahim, Nasyrov Semen, Vuorinen Matti

Publisher: WILEY-V C H VERLAG GMBH

Publication year: 2023

Journal: Mathematical News / Mathematische Nachrichten

DOI: https://doi.org/10.1002/mana.202200242

Web address : https://doi.org/10.1002/mana.202200242

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/180230189


Abstract

We study inequalities between the hyperbolic metric and intrinsic metrics in convex polygonal domains in the complex plane. A special attention is paid to the triangular ratio metric in rectangles. A local study leads to investigation of the relationship between the conformal radius at an arbitrary point of a planar domain and the distance of the point to the boundary.


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Last updated on 2024-26-11 at 21:39