摘要
引入了原子鞅与正则原子鞅概念,并研究了两类Banach空间值鞅Hardy空间的原子分解和有限鞅的稠密性,所得结论揭示了鞅Hardy空间正则原子鞅分解的存在性,有限鞅的稠密性和Banach空间的一致光滑性(或一致凸性)三者之间的内在联系.
The concepts of atomic martingales and regular atomic martingales are introduced, then the atomic decompositions and the density of finite martingales in two classes of Banach-space-valued martingale Hardy spaces are investigated. By the results obtained here, the internal relations among the existence of atomical decompositions, the density of finite martingales and the uniform smoothness （or uniform convexity） of Banach spaces are exposed.
出处
《纯粹数学与应用数学》
CSCD
2009年第3期417-424,共8页
Pure and Applied Mathematics
基金
国家自然科学基金(10371093)
湖北省高等学校自然科学研究计划重点项目(D200613001)
关键词
鞅空间
原子分解
有限鞅
稠密
martingale space, atomic decomposition, finite martingale, density
