在P_(bkc)(c[0,1])与P_(bkc)(L^p[0,1])取值的集值随机变量(1)

Value of set-valued stochastic variables between P_(bkc)(c[0,1]) and P_(bkc)(L^p[0,1])

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.