PREDUAL SPACES FOR Q SPACES

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

数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (2): 243-250.doi: 10.1016/S0252-9602(09)60025-4

PREDUAL SPACES FOR Q SPACES

彭立中, 杨奇祥

LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China

收稿日期:2006-10-29 修回日期:1900-01-01 出版日期:2009-03-20 发布日期:2009-03-20
通讯作者: 彭立中
基金资助:
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.

PREDUAL SPACES FOR Q SPACES

Peng Lizhong, Yang Qixiang

LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China

Received:2006-10-29 Revised:1900-01-01 Online:2009-03-20 Published:2009-03-20
Contact: Peng Lizhong
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.

摘要/Abstract

摘要：

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).

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

Abstract:

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

中图分类号:

46E15

彭立中, 杨奇祥. PREDUAL SPACES FOR Q SPACES[J]. 数学物理学报(英文版), 2009, 29(2): 243-250.

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

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PREDUAL SPACES FOR Q SPACES

PREDUAL SPACES FOR Q SPACES

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