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AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION 被引量:8

AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION
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摘要 In this article,the authors obtain an inequality of homogeneous expansion for f,where f is a quasi-convex mapping(including quasi-convex mapping of type A and quasi-convex mapping of type B)defined on the open unit polydisk in C n .Meanwhile,the authors also investigate its application. In this article,the authors obtain an inequality of homogeneous expansion for f,where f is a quasi-convex mapping(including quasi-convex mapping of type A and quasi-convex mapping of type B)defined on the open unit polydisk in C n .Meanwhile,the authors also investigate its application.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2009年第1期201-209,共9页 数学物理学报(B辑英文版)
基金 Sponsored by National Natural Science Foundation of China under grant No.10571164 Specialized Research Fund for the Doctoral Program of Higher Education under grant No.20050358052 Guangdong Natural Science Foundation under grant No.06301315
关键词 Biholomorphic mapping quasi-convex mapping inequality of homogeneous expansion Biholomorphic mapping quasi-convex mapping inequality of homogeneous expansion
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  • 1LIU TAISHUN,(Department of Mathematics, University of Science and Technology of China, Hefei 230026, China)REN GUANGBIN,(Department of Mathematics, University of Science and Technology of China, Hefei 230026, China).THE GROWTH THEOREM FOR STARLIKE MAPPINGS ON BOUNDED STARLIKE CIRCULAR DOMAINS[J].Chinese Annals of Mathematics,Series B,1998,19(4):401-408. 被引量:39
  • 2Zhang Wenjun,Liu Taishun.On growth and covering theorems of quasi-convex mappings in the unit ball of a complex banach space[J].Science in China Series A: Mathematics.2002(12)
  • 3Kevin A. Roper,Ted J. Suffridge.Convex mappings on the unit ball ofC n[J].Journal d’Analyse Mathematique.1995(1)
  • 4Liu Taishun,Liu Hao.The quasi-convex mappings on the bounded convex circular domains[].Acta Mathematica Scientia.2001
  • 5Gong S,Liu T S.The growth theorem of biholomorphic convex mappings on Bp[].Chinese Quarterly Journal of Mathematics.1991

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