Some new results on integration for multifunction
Functional Analysis
2020-02-19 v2
Abstract
It has been proven in previous papers that each Henstock-Kurzweil-Pettis integrable multifunction with weakly compact values can be represented as a sum of one of its selections and a Pettis integrable multifunction. We prove here that if the initial multifunction is also Bochner measurable and has absolutely continuous variational measure of its integral, then it is a sum of a strongly measurable selection and of a variationally Henstock integrable multifunction that is also Birkhoff integrable.
Cite
@article{arxiv.1610.09151,
title = {Some new results on integration for multifunction},
author = {Domenico Candeloro and Luisa Di Piazza and Kazimierz Musiał and Anna Rita Sambucini},
journal= {arXiv preprint arXiv:1610.09151},
year = {2020}
}
Comments
15 pages