We prove that several results of Talagrand proved for the Pettis integral hold true also for the Kurzweil--Henstock--Pettis integral. In particular the Kurzweil--Henstock--Pettis integrability can be characterized by suitable properties of the operators defined by the integrands and by cores of those functions.

DI PIAZZA L, MUSIAL K (2006). Characterizations of Kurzweil--Henstock--Pettis integrable functions. STUDIA MATHEMATICA, 176(2), 159-176 [10.4064/sm176-2-4].

Characterizations of Kurzweil--Henstock--Pettis integrable functions

DI PIAZZA, Luisa;
2006

Abstract

We prove that several results of Talagrand proved for the Pettis integral hold true also for the Kurzweil--Henstock--Pettis integral. In particular the Kurzweil--Henstock--Pettis integrability can be characterized by suitable properties of the operators defined by the integrands and by cores of those functions.
https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/176/2/90812/characterizations-of-kurzweil-8211-henstock-8211-pettis-integrable-functions
DI PIAZZA L, MUSIAL K (2006). Characterizations of Kurzweil--Henstock--Pettis integrable functions. STUDIA MATHEMATICA, 176(2), 159-176 [10.4064/sm176-2-4].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/32328
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