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arXiv · 1304.2441

A Schwarz lemma for harmonic mappings between the unit balls in real Euclidean spaces

Shaoyu Dai·Yifei Pan
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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.

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Shaoyu Dai, Yifei Pan. 2013-04-09. A Schwarz lemma for harmonic mappings between the unit balls in real Euclidean spaces. https://arxiv.org/abs/1304.2441

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