摘要
对拟连续测度空间(G,β,u)的一致有界等度连续函数族,通过包含关系,取凸包和闭包,构造了在Pbkc(c[0,1])与Pbkc(Lp[0,1])取值的集值随机变量及连续的集值映射,深化了集值随机过程理论研究.
In this paper,we study the quasi-continuous measure space (G, β, μ) of uniformly boundness of continuous functions, and the containment relations of convex and closure set. We have constructed value of set-valued stochastic variables and continuous set-valued mapping between Pbkc(c[0, 1]) and Pbkc(LP[0, 1]). It will deepen the set-valued stochastic process theory.
出处
《纯粹数学与应用数学》
CSCD
2012年第1期99-108,共10页
Pure and Applied Mathematics
关键词
拟连续测度空间
集值随机变量
连续集值映射
quasi-continuous measure space, set-valued stochastic variable, continuous set-valued mapping