Acta mathematica scientia, Series B >
PREDUAL SPACES FOR Q SPACES
Received date: 2006-10-29
Revised date: 1900-01-01
Online published: 2009-03-20
Supported by
Research supported by NNSF of China No.10001027, 90104004,10471002, 973 project of China G1999075105, the innovation funds of Wuhan University, and the subject construction funds of Mathematic and Statistic School, Wuhan University.
To find the predual spaces Pα(Rn) of Qα(Rn) is an important motivation in the study of Q spaces. In this article, wavelet methods are used to solve this problem in a constructive way. First, an wavelet tent atomic characterization of Pα(Rn) is given, then its usual atomic characterization and Poisson extension characterization are given. Finally, the continuity on Pα of Calderón-Zygmund operators is studied, and the result can be also applied to give the Morrey characterization of Pα(Rn).
Peng Lizhong , Yang Qixiang . PREDUAL SPACES FOR Q SPACES[J]. Acta mathematica scientia, Series B, 2009 , 29(2) : 243 -250 . DOI: 10.1016/S0252-9602(09)60025-4
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