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B值拟鞅的原子分解 被引量:9

Atomic Decompositions for B-Valued Quasimartingales
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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
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  • 1LIU PeiDe,HOU YouLiang & WANG MaoFa School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China.Weak Orlicz space and its applications to the martingale theory[J].Science China Mathematics,2010,53(4):905-916. 被引量:23
  • 2JIAO Yong,PENG LiHua,LIU PeiDe.Interpolation for weak Orlicz spaces with M_Δ condition[J].Science China Mathematics,2008,51(11):2072-2080. 被引量:6
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