The Upper Semi-Continuous Subadditive α-Positively Homogeneous Functionals Defined on S(Ω,∑,μ)and Lβ(Ω,∑,μ)

FU Xiao-hong

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The Upper Semi-Continuous Subadditive α-Positively Homogeneous Functionals Defined on S(Ω,∑,μ)and Lβ(Ω,∑,μ)

Author(s): FU Xiao-hong
Pages: 173-176
Year: 2007 Issue: 1
Journal: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
Keyword: S(Ω; ∑; μ); Lβ(Ω; ∑; μ); 上半连续; 原子; α-凸;
Abstract: 本文得到了S(Ω,∑,μ)和Lβ(Ω,∑,μ)分别不存在非零的上半连续、次加、α-正齐性泛函(分别有0＜a≤1和β＜a≤1)的充要条件.

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