A1 Refereed original research article in a scientific journal

On Harnack inequality and harmonic Schwarz lemma



Authors: Kargar, Rahim

Publisher: Cambridge University Press

Publishing place: Cambridge

Publication year: 2024

Journal: Canadian Mathematical Bulletin

Journal name in source: Canadian Mathematical Bulletin

Volume: 67

Issue: 4

First page : 940

Last page: 954

ISSN: 0008-4395

eISSN: 1496-4287

DOI: https://doi.org/10.4153/S0008439524000298

Web address : https://doi.org/10.4153/S0008439524000298

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/421363386


Abstract
In this paper, we study the (s, C(s))-Harnack inequality in a domain G ⊂ Rn for s ∈ (0, 1) and C(s) ≥ 1 and present a series of inequalities related to (s, C(s))-Harnack functions and the Harnack metric. We also investigate the behavior of the Harnack metric under K-quasiconformal and K-quasiregular mappings, where K ≥ 1. Finally, we provide a type of harmonic Schwarz lemma and improve the Schwarz-Pick estimate for a real-valued harmonic function.

Downloadable publication

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.


Last updated on 2025-17-03 at 12:29