Fatou's lemma and lower epi-limits of integral functionals

被引：3
|
作者：
Giner, Emmanuel [1 ]
机构：
[1] Univ Toulouse 3, Lab MIP, Inst Math, F-31062 Toulouse, France
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 394卷 / 01期
关键词：
Fatou's lemma; Modulus of equi-integrability; Gamma-limits of integral functionals; LEBESGUE SPACES;
D O I：
10.1016/j.jmaa.2012.04.060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, with the introduction in the sigma-finite case of a modulus of equi-integrability, we prove some new extensions of Fatou's lemma and some of its consequences in the convergence theory of integral functionals. We present the case of a sequence of integral functionals using an analog of loffe's criterion for a sequence of integrands. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：13 / 29
页数：17
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