Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (4): 1003-1016.doi: 10.1007/s10473-019-0407-z

• Articles • Previous Articles     Next Articles

POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cn

Ru PENG1, Xiaolei XING1, Liangying JIANG2   

  1. 1. Department of Mathematics, Wuhan University of Technology, Wuhan 430070, China;
    2. Department of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China
  • Received:2017-12-30 Online:2019-08-25 Published:2019-09-12
  • Supported by:
    Supported by the National Natural Science Foundation of China (11601400 and 11771441) and the Fundamental Research Funds for the Central Universities (2017IB012 and 2017IVB064).

Abstract: This article is devoted to characterizing the boundedness and compactness of multiplication operators from Hardy spaces to weighted Bergman spaces in the unit ball of Cn.

Key words: Pointwise multiplication operators, Hardy spaces, Bergman spaces, Carleson measure

CLC Number: 

  • 32A37
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