摘要
定义了B值拟鞅原子,建立了相应的B值拟鞅原子分解定理,由此进一步讨论了拟鞅空间pΣα,pQα,Hα,pHα,Dα之间的嵌入关系,指出它们与值空间的几何性质密切相关.
Some kinds of quasimartingale atoms are defined and the atomic decomposition for some B-valued quasimartingales are made under certain geometric conditions. Conversely, these geometric properties are characterized in terms of the respective atomic decomposition. As a result, some quasimartingale inequalities are obtained,which are applied to investigate the relation between some B-valued quasimartingale spaces.
出处
《武汉大学学报(理学版)》
CAS
CSCD
北大核心
2006年第3期267-272,共6页
Journal of Wuhan University:Natural Science Edition
基金
国家自然科学基金资助项目(19771063)
关键词
B值拟鞅
原子分解
拟鞅空间
BANACH空间几何学
B-valued quasimartingales
atomic decomposition
quasimartingale space
geometry of Banach space