Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (4): 446-450.

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THE GROWTH THEOREM FOR QUASI-CONVEX MAPPINGS IN HILBERT SPACES

 FENG Shu-Xia, LIU Hao   

  1. University of Science and Technology of China, Hefei 230026, China Wuhan Institute of Physics and Mathematics, Chinese Academy of Science, Wuhan 430071, China
    Department of Mathematics, Henan University, Kaifeng 475001, China
  • Online:2002-10-14 Published:2002-10-14
  • Supported by:

    The research supported by the NSF and SFEC of Henan Province

Abstract:

In this paper, the authors extend the definition of quasi-convex mappings and obtain the corresponding growth theorem on the unit ball of a complex Hilbert space X.

Key words: Starlike mappings, convex mappings, quasi-convex mappings

CLC Number: 

  • 32A30
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