PREDUAL SPACES FOR Q SPACES

• Published in: Acta mathematica scientia Vol. 29; no. 2; pp. 243 - 250
• Main Author: 彭立中 杨奇祥
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.03.2009; LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China%Department of Mathematics, Wuhan University, Hubei 430072, China
• Subjects: 42C15; 46E15; Besov spaces; Calderón-Zygmund operator; d算子; L空间; Poisson extension; predual spaces; Qα space; Q空间; tent atom; usual atom; wavelets; 小波方法; 注册商标; 结构表征; 连续性; 46E15; tent atom; Qα space; wavelets; Calderón-Zygmund operator; predual spaces; 42C15; Besov spaces; usual atom; Poisson extension; Poisson exten-sion; Calderon-Zygmund operator; Qαspace
• ISSN: 0252-9602; 1572-9087
• DOI: 10.1016/S0252-9602(09)60025-4

To find the predual spaces Pα（R^n） of Qα（R^n） 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 Calderon-Zygmund operators is studied, and the result can be also applied to give the Morrey characterization of Pα（Rn）.