Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (3): 515-524.

• Articles • Previous Articles     Next Articles

TWO PROBLEMS ABOUT COMPOSITION OPERATORS ON HARDY SPACE

 TUN Shu-Hong, WANG Mao-Fa, LIU Pei-De   

  1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China
    School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Online:2005-07-20 Published:2005-07-20
  • Supported by:

    This research is supported by the NNSF of China
    (10401027)

Abstract:

In this paper, two problems about composition operator on Hardy space are
considered. Firstly, a new estimation of the norm of a class of composition operators is
given. Secondly, the cyclic behavior of the adjoint operator of a composition operator is
discussed.

Key words:  Hardy space;composition operator, numerical range;cyclic vector

CLC Number: 

  • 30D45 47B38
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