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| A Schwarz Lemma for Harmonic Mappings Between the Unit Balls in Real Euclidean Spaces |
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Citation： |
Shaoyu DAI,Yifei PAN.A Schwarz Lemma for Harmonic Mappings Between the Unit Balls in Real Euclidean Spaces[J].Chinese Annals of Mathematics B,2018,39(6):1065~1092 |
| Page view： 636
Net amount： 608 |
Authors： |
Shaoyu DAI; Yifei PAN |
Foundation： |
This work was supported by the National Natural
Science Foundation of China (Nos. 11201199, 11671361). |
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| Abstract： |
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. |
Keywords： |
Harmonic mappings, Schwarz lemma, Unit balls |
Classification： |
31B05, 32H02 |
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