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非可加测度空间上的伪条件(PE)

Pseudo-condition(PE)for Egoroff's Theorem on Non-additive Measure Space
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摘要 利用非可加测度的共轭形式定义了集函数的伪条件(PE),并利用条件(PE)与伪条件(PE)及其之间的对偶关系,得到了非可加测度空间Egoroff定理4种形式的等价条件. A definition of the pseudo-condition(PE)of set function is given by using the non-additive measure’s conjugate.The equivalent conditions for the four kinds of Egoroff’s theorems in terms of nonadditive measure space are proposed based on the condition(PE),the pseudo-condition(PE),and their duality relations.
作者 钱玲 张慧
出处 《宁夏大学学报(自然科学版)》 CAS 2016年第4期405-408,共4页 Journal of Ningxia University(Natural Science Edition)
基金 安徽省高校科学研究基金资助项目(KJ2012A136)
关键词 条件(PE) 伪条件(PE) EGOROFF定理 the condition(PE) the pseudo-condition(PE) Egoroff’s theorem
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