A Schwarz Lemma for Harmonic Mappings Between the Unit Balls in Real Euclidean Spaces

The authors prove a Schwarz lemma for harmonic mappings between the unit balls in real Euclidean spaces. Roughly speaking, this 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 th...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2018-11, Vol.39 (6), p.1065-1092
Main Authors: Dai, Shaoyu, Pan, Yifei
Format: Article
Language:English
Subjects:
Applications of Mathematics
Euclidean space
Mathematics
Mathematics and Statistics
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Online Access:Get full text
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Summary:The authors prove a Schwarz lemma for harmonic mappings between the unit balls in real Euclidean spaces. Roughly speaking, this 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.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-018-0114-4