摘要
本文研究了离散参数集值序下鞅的Riesz分解及收敛性.利用集值序关系及集值鞅方法,给出了离散参数集值序下鞅的Riesz分解的存在性及唯一性定理.并获得离散参数集值序下鞅的收敛性定理.
In this paper, we study the Riesz decomposition and convergence of set-valued order submartingale with discreate parameter. By set-valued order relations and martingale methods, we give the existence and uniquess theorem of set-valued order submartingale Riesz decomposition. Based on the Riesz decomposition theorem,we obtain the convergence theorems of set-valued order submartingale.
出处
《数学杂志》
CSCD
北大核心
2007年第2期201-207,共7页
Journal of Mathematics
基金
陕西省教育厅自然科学专项基金项目(03JK063)
关键词
集值序下鞅
RIESZ分解
收敛性
set-valued order submartingale
Riesz decomposition
convergence
