On some variational measures related to the wide Denjoy integral and its counterparts

被引：0
|
作者：
Sworowski, Piotr [1 ]
机构：
[1] Casimirus Great Univ Inst Math, Pl Weyssenhoffa 11, PL-85072 Bydgoszcz, Poland
来源：
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2019年 / 142卷
关键词：
Wide Denjoy integral; weak variational measure; composite gauge; local system; VBG; ACG; Lusin's condition (N); WARD PROPERTY;
D O I：
10.4171/RSMUP/27
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Weak and q-weak variationalmeasures defined by Brian S. Thomson [On VBG functions and the Denjoy-Khintchine integral, Real Analysis Exchange, 41(1) (2015/16), 173-226] are shown to coincide with variational measures resulting from Riemann definitions of some wide Denjoy type integrals. This fact is applied in characterizations of these integrals, via absolute continuity of weak and q-weak measures. In related results, it is discussed if these Riemann definitions can be essentially simplified.
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页码：9 / 36
页数：28
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