A Note on Schwarz-Pick Lemma for BoundedComplex-Valued Harmonic Functionsin the Unit Ball of Rn

Citation:

Shaoyu DAI,Yifei PAN.A Note on Schwarz-Pick Lemma for BoundedComplex-Valued Harmonic Functionsin the Unit Ball of Rn[J].Chinese Annals of Mathematics B,2015,36(1):67~80
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Authors:

Shaoyu DAI; Yifei PAN;

Foundation:

supported by the National Natural Science Foundation of China (No. 11201199), the Scientific Research Foundation of Jinling Institute of Technology (No. Jit-b-201221) and Qing Lan Project.
Abstract: In this paper, the authors prove a Schwarz-Pick lemma for bounded complexvalued harmonic functions in the unit ball of Rn.

Keywords:

Harmonic functions, Schwarz-Pick lemma, Unit ball

Classification:

31B05, 31C05
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