Kurzweil-Henstock and Kurzweil-Henstock-Pettis integrability of strongly measurable functions
B. Bongiorno, Luisa Di Piazza, Kazimierz Musiał (2006)
Mathematica Bohemica
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We study the integrability of Banach valued strongly measurable functions defined on . In case of functions given by , where belong to a Banach space and the sets are Lebesgue measurable and pairwise disjoint subsets of , there are well known characterizations for the Bochner and for the Pettis integrability of (cf Musial (1991)). In this paper we give some conditions for the Kurzweil-Henstock and the Kurzweil-Henstock-Pettis integrability of such functions.