Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (1): 150-154.doi: 10.1016/S0252-9602(12)60201-X

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A LITTLEWOOD-PALEY TYPE THEOREM FOR BERGMAN SPACES

 CHEN Ze-Qian1, OUYANG-Wei1,2   

  1. 1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
    2. University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2011-09-21 Online:2013-01-20 Published:2013-01-20
  • Supported by:

    This work was partially supported by NSFC (11171338).

Abstract:

In this paper, we prove that the original Littlewood-Paley g-functions can be used to characterize Bergman spaces as well.

Key words: Bergman space, Hardy space, Littlewood-Paley g-function

CLC Number: 

  • 32A36
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