Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (2): 292-297.doi: 10.13371/j.cnki.chin.q.j.m.2014.02.020

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A Property of Convex Mappings on the Classical Domains

  

  1. Institute of Contemporary Mathematics, College of Mathematics and Information Science, Henan University

  • Received:2013-05-16 Online:2014-06-30 Published:2023-04-10
  • About author:FENG Shu-xia(1975-), female, native of Yuanyang, Henan, an associate professor of Henan University, Ph.D., engages in function theory of SCV; LI Hong-jun(1986-), male, native of Fugou, Henan, a graduate student of Henan University.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11001074,11061015,11101124)

Abstract: In this paper, we give a property of normalized biholomorphic convex mappings on the first, second and third classical domains: for any Z0 belongs to the classical domains, f maps each neighbourhood with the center Z0, which is contained in the classical domains, to a convex domain.

Key words: classical domains, convex mappings, convex domains

CLC Number: