A Schwarz lemma for harmonic mappings between the unit balls in real Euclidean spaces
Complex Variables
2013-04-10 v1
Abstract
In this paper we prove a Schwarz lemma for harmonic mappings between the unit balls in real Euclidean spaces. Roughly speaking, our result says that under a harmonic mapping between the unit balls in real Euclidean spaces, the image of a smaller ball centered at origin can be controlled. This extends the related result proved by Chen in complex plane.
Cite
@article{arxiv.1304.2441,
title = {A Schwarz lemma for harmonic mappings between the unit balls in real Euclidean spaces},
author = {Shaoyu Dai and Yifei Pan},
journal= {arXiv preprint arXiv:1304.2441},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1303.3065