Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 892-901.

• Articles • Previous Articles     Next Articles

Growth Estimates for a Class of Subharmonic Functions in the Half Plane

 PAN Guo-Shuang1, DENG Guan-Tie2*   

  1. 1.Beijing National Day School, Beijing 100039|2.School of Mathematical Sciences, Beijing Normal University, Beijing 100875
  • Received:2009-05-20 Revised:2010-11-16 Online:2011-08-25 Published:2011-08-25
  • Contact: DENG Guan-Tie E-mail:denggt@bnu.edu.cn; gsp1979@163.com
  • Supported by:

    国家自然科学基金(11071020)和高等学校博士点专项科研基金(2010000311004)资助

Abstract:

A class of subharmonic  functions represented by the modified  kernels is  proved to have the  growth estimates u(z)= o(y1-αz|m+α), at infinity in the upper half plane C+, which generalizes the growth properties of analytic functions and harmonic functions.

Key words: Subharmonic function, Modified Poisson kernel, Modified Green function, Growth estimate

CLC Number: 

  • 31B05
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