Articles

A LITTLEWOOD-PALEY TYPE THEOREM FOR BERGMAN SPACES

  • CHEN Ze-Qian ,
  • OUYANG-Wei
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  • 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 date: 2011-09-21

  Online 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.

Cite this article

CHEN Ze-Qian , OUYANG-Wei . A LITTLEWOOD-PALEY TYPE THEOREM FOR BERGMAN SPACES[J]. Acta mathematica scientia, Series B, 2013 , 33(1) : 150 -154 . DOI: 10.1016/S0252-9602(12)60201-X

References

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[2] Chen Z, Ouyang W. Real-variable characterizations of Bergman spaces in the unit ball of Cn. Acta Analysis Functionalis Applicata, 2011, 13: 246–259

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[9] Zygmund A. Trigonometric Series. Third ed. Cambridge, England: Cambridge University Press, 2002

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