PREDUAL SPACES FOR Q SPACES

doi:10.1016/S0252-9602(09)60025-4

Abstract

Abstract:

To find the predual spaces P_α(Rⁿ) of Q_α(^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 P_α(Rⁿ) is given, then its usual atomic characterization and Poisson extension characterization are given. Finally, the continuity on P_α of Calderón-Zygmund operators is studied, and the result can be also applied to give the Morrey characterization of P_α(Rⁿ).

Key words: Q_α space, predual spaces, wavelets, tent atom, usual atom, Poisson extension, Besov spaces, Calderón-Zygmund operator

CLC Number:

46E15

Peng Lizhong, Yang Qixiang. PREDUAL SPACES FOR Q SPACES[J].Acta mathematica scientia,Series B, 2009, 29(2): 243-250.

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