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Paper detail

Some new results on integration for multifunction

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.

preprint2020arXivOpen access
Domenico CandeloroLuisa Di PiazzaKazimierz MusiałAnna Rita Sambucini
math.FA
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Domenico CandeloroLuisa Di PiazzaKazimierz MusiałAnna Rita Sambucini

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