Convergence for varying measures

被引：6
|
作者：
Di Piazza, L. [1 ]
Marraffa, V. [1 ]
Musial, K. [2 ]
Sambucini, A. R. [3 ]
机构：
[1] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy
[2] Univ Wroclaw, Inst Math, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland
[3] Dept Math & Comp Sci, I-06123 Perugia, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 518卷 / 02期
关键词：
Setwise convergence; Convergence in total variation; Uniform integrability; Absolute integrability; Pettis integral; Multifunction; PETTIS INTEGRABILITY; FATOUS LEMMA; MULTIFUNCTIONS; THEOREMS; VALUES; INTEGRATION; MCSHANE;
D O I：
10.1016/j.jmaa.2022.126782
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some limit theorems of the type integral(Omega) f(n) dm(n) -> integral(Omega) f dm are presented for scalar, (vector), (multi)-valued sequences of m(n)-integrable functions f(n). The convergences obtained, in the vector and multivalued settings, are in the weak or in the strong sense. (c) 2022 Elsevier Inc. All rights reserved.
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页数：22
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