Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (4): 331-337.

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On Growth and Covering Theorem for Almost Spiallike Mapping of Type β with Order α

  

  1. 1. College of Mathematics and Information Science, Henan University, Kaifeng 475001, China; 2.Department of Mathematics, Anyang Normal College, Anyang 455000, China
  • Received:2004-08-05 Online:2005-12-30 Published:2024-01-02
  • About author:LIU Hao(1964-),male,native of Pingyu,Henan,a professor of Henan University,Ph.D.,engages in several complex variables.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10271117);

Abstract: Let f(x) be an almost spirallike mapping of type β with order α on unit ball B of complex Banach space X. In this paper, we consider the growth and covering theorems for f(x), we also prove that the estimation is precise when β=0 and still give growth upper bound and distortion upper bound for subordinate mapping. This result include some results known.

Key words: spirallike mapping, growth and covering theorem, subordinate mapping

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