English

Schwarz-Pick Lemma for Harmonic and Hyperbolic Harmonic Functions

Analysis of PDEs 2021-11-05 v1 Complex Variables

Abstract

We establish some inequalities of Schwarz-Pick type for harmonic and hyperbolic harmonic functions on the unit ball of and we disprove a recent conjecture of Liu [Schwarz-Pick Lemma for Harmonic Functions, International Mathematics Research Notices, 2021].

Keywords

Cite

@article{arxiv.2111.02618,
  title  = {Schwarz-Pick Lemma for Harmonic and Hyperbolic Harmonic Functions},
  author = {Adel Khalfallah and Bojana Purtić and Miodrag Mateljević},
  journal= {arXiv preprint arXiv:2111.02618},
  year   = {2021}
}
R2 v1 2026-06-24T07:25:29.534Z