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A Schwarz lemma for harmonic mappings between the unit balls in real Euclidean spaces
Published 9 Apr 2013 in math.CV | (1304.2441v1)
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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