Characterizations of Kurzweil-Henstock-Pettis integrable functions
Studia Mathematica, Tome 176 (2006) no. 2, p. 159.

Voir la notice de l'article dans European Digital Mathematics Library

We prove that several results of Talagrand proved for the Pettis integral also hold for the Kurzweil-Henstock-Pettis integral. In particular the Kurzweil-Henstock-Pettis integrability can be characterized by cores of the functions and by properties of suitable operators defined by integrands.
Classification : 28B05, 46G10, 26A39
Mots-clés : Kurzweil-Henstock integral, Denjoy-Khinchin integral, Pettis integral, Denjoy-Pettis integral 
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L. Di Piazza; K. Musiał. Characterizations of Kurzweil-Henstock-Pettis integrable functions. Studia Mathematica, Tome 176 (2006) no. 2, p. 159. https://geodesic-test.mathdoc.fr/item/STUMA_2006__176_2_284724/