Atomic decompositions of Banach-space-valued martingales

• 作 者: 刘培德 侯友良
• 机 构: 1.DepartmentofMathematics
• 出 处: 中国科学：数学英文版
• 发表日期: 1999年1期
• 关键词: Banach-space-valued MARTINGALE MARTINGALE SPACE atomic decomposition geometry of
• 基金项目: Project supported by the National Natural Science Foundation of China (Grant No. 19771063).

Several theorems for atomic decompositions of Banach-space-valued martingales are proved. As their applications, the relationship among some martingale spaces such as H_α(X) and _ρ(?)_α in the case 0【α≤1 are studied. It is shown that there is a close conn