A New Characterization of p-Smoothable Banach Spaces  

作　　者：Yan Bo REN You Liang HOU 

机构地区：[1]School of Mathematics and Statistics, He 'nan University of Science and Technology, Luoyang 471003, P. R. China [2]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第5期1005-1010,共6页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China （Grant No. 10671147）

摘　　要：In this paper an atomic decomposition theorem for Banach-space-valued weak Hardy regular martingale space wpHα^s（X） is given. As an application, p-smoothable Banach spaces are characterized in terms of bounded sublinear operators defined on Banach-space-valued weak Hardy regular martingale space wpHa^s（X）. Keywords Martingale, weak Hardy space, atomic decomposition, p-smoothable Banach spaceIn this paper an atomic decomposition theorem for Banach-space-valued weak Hardy regular martingale space wpHα^s（X） is given. As an application, p-smoothable Banach spaces are characterized in terms of bounded sublinear operators defined on Banach-space-valued weak Hardy regular martingale space wpHa^s（X）. Keywords Martingale, weak Hardy space, atomic decomposition, p-smoothable Banach space

关 键 词：MARTINGALE weak Hardy space atomic decomposition p-smoothable Banach space 

分 类 号：O177.2[理学—数学] O177.6[理学—基础数学]