A function is said to be an function if it satisfies the Strong Lusin condition given as follows: for every -nbd and a set of measure zero, there exists a gauge such that for every -fine partial partition of with , there exist -nbds such that and for each . In this paper, we introduce the SL integral of a function taking values on a locally convex topological vector space (LCTVS). Further, we show that this integral is equivalent to a stronger version of the Henstock integral.
"ON THE SL-INTEGRAL OF LCTVS-VALUED FUNCTIONS." Real Anal. Exchange 46 (2) 505 - 522, 2021. https://doi.org/10.14321/realanalexch.46.2.0505