Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (4): 645-654.

• Articles • Previous Articles     Next Articles

ON DIRICHLET TYPE SPACES AND -BLOCH SPACES IN THE UNIT BALL OF Cn

 LI Bo, OU Yang-Cai-Heng   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • Online:2004-10-20 Published:2004-10-20
  • Supported by:

    The research is supported by NNSF of China(10271117)

Abstract:

In this paper, the authors study the inclusion relations between Dirichlet type spaces D and -Bloch spaces by means of higher radial derivative. The strictness and the best possibility of the inclusion relations are shown with constructive methods. Furthermore, they sharpen one of the results when  = n, which proves that a conjecture in [7] is true.

Key words: Dirichlet type spaces, -Bloch spaces, inclusion relations

CLC Number: 

  • 32A37
Trendmd