Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (3): 528-533.

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A Note on Distortion Theorem for Biholomorphic Convex Mappings on the Unit Ball

Lu Jin   

  1. Department of Mathematics, Huzhou University, Zhejiang 313000
  • Received:2016-09-17 Revised:2017-01-23 Online:2017-06-26 Published:2017-06-26
  • Supported by:

    Supported by the NFC (11501198), the Zhejiang Natural Science Foundation of China (LY16A010012) and the Huzhou University's Project (RP21029, KX21069)

Abstract:

In this paper, applied the Schwarz lemma at the boundary of the unit ball in Cn, we give a new and simple proof of the distortion theorem for biholomorphic convex mappings on the unit ball.

Key words: Distortion theorem, Convex mapping, Schwarz lemma at the boundary

CLC Number: 

  • O174.56
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