Characterizations of Kurzweil-Henstock-Pettis integrable functions
L. Di Piazza ; K. Musiał
Studia Mathematica, Tome 173 (2006), p. 159-176 / Harvested from The Polish 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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:284724
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     author = {L. Di Piazza and K. Musia\l },
     title = {Characterizations of Kurzweil-Henstock-Pettis integrable functions},
     journal = {Studia Mathematica},
     volume = {173},
     year = {2006},
     pages = {159-176},
     zbl = {1118.26008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm176-2-4}
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L. Di Piazza; K. Musiał. Characterizations of Kurzweil-Henstock-Pettis integrable functions. Studia Mathematica, Tome 173 (2006) pp. 159-176. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm176-2-4/