Chinese Quarterly Journal of Mathematics ›› 1999, Vol. 14 ›› Issue (3): 54-63.

Previous Articles     Next Articles

Composition Operators Between the Weighted Dirichlet Spaces on Bounded Symmetric Domains of Cn

  

  1.  Dept.of Math.,University of Science and Technology of China,Hefei,230026
  • Received:1998-09-24 Online:1999-09-30 Published:2024-09-12
  • Supported by:
    Supported by the National Natural Siences Foundations and the National Education Committee Doctoral Foundations.

Abstract: In this paper, we define the weighted Dirichlet space Dpα(Ω) on bounded symmetric domains Ω of C n. Using η-α Carleson measure,we study the boundedness and compactmess of the composition operators between the weighted Dirichlet spaces.

Key words:  , Dirichlet space;composition operator;Carleson measure

CLC Number: