Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (3): 433-445.

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The Schwarz-Pick Lemma for Bounded Pluriharmonic Mappings in the Unit Ball of Cn

Huang Ziyan, Zhao Di, Li Hongyi   

  1. School of Mathematics and System Science, Beihang University, Beijing 100191
  • Received:2016-05-31 Revised:2017-05-23 Online:2018-06-26 Published:2018-06-26
  • Supported by:
    Supported by the NSFC (61379001, 61771001)

Abstract: In this paper, we extend the classical Schwarz-Pick lemma to the n-dimension complex space Cn, and obtain the Schwarz-Pick lemma for bounded pluriharmonic mappings from the unit ball in Cn to the unit disk in the complex plane.

Key words: Schwarz-Pick lemma, Pluriharmonic mapping, Unit ball, Finsler metric

CLC Number: 

  • O174.56
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