Characterizations of Kurzweil–Henstock–Pettis integrable functions
Volume 176 / 2006
Studia Mathematica 176 (2006), 159-176
MSC: Primary 26A39; Secondary 28B05, 46G10, 28A20.
DOI: 10.4064/sm176-2-4
Abstract
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.
