Characterizations of Kurzweil--Henstock--Pettis integrable functions

Luisa Di Piazza; Luisa Di Piazza; Kazimierz Musiał

Characterizations of Kurzweil--Henstock--Pettis integrable functions

Luisa Di Piazza, Luisa Di Piazza, Kazimierz Musiał

Matematica e Informatica

Risultato della ricerca: Article › peer review

13 Citazioni (Scopus)

Abstract

We prove that several results of Talagrand proved for thePettis integral hold true also for the Kurzweil--Henstock--Pettisintegral. In particular the Kurzweil--Henstock--Pettisintegrability can be characterized by suitable properties of theoperators defined by the integrands and by cores of thosefunctions.

Lingua originale	English
pagine (da-a)	159-176
Numero di pagine	18
Rivista	Studia Mathematica
Volume	176
Stato di pubblicazione	Published - 2006

All Science Journal Classification (ASJC) codes

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title = "Characterizations of Kurzweil--Henstock--Pettis integrable functions",

abstract = "We prove that several results of Talagrand proved for thePettis integral hold true also for the Kurzweil--Henstock--Pettisintegral. In particular the Kurzweil--Henstock--Pettisintegrability can be characterized by suitable properties of theoperators defined by the integrands and by cores of thosefunctions.",

author = "{Di Piazza}, Luisa and {Di Piazza}, Luisa and Kazimierz Musia{\l}",

year = "2006",

language = "English",

volume = "176",

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T1 - Characterizations of Kurzweil--Henstock--Pettis integrable functions

AU - Di Piazza, Luisa

AU - Musiał, Kazimierz

PY - 2006

Y1 - 2006

N2 - We prove that several results of Talagrand proved for thePettis integral hold true also for the Kurzweil--Henstock--Pettisintegral. In particular the Kurzweil--Henstock--Pettisintegrability can be characterized by suitable properties of theoperators defined by the integrands and by cores of thosefunctions.

AB - We prove that several results of Talagrand proved for thePettis integral hold true also for the Kurzweil--Henstock--Pettisintegral. In particular the Kurzweil--Henstock--Pettisintegrability can be characterized by suitable properties of theoperators defined by the integrands and by cores of thosefunctions.

UR - http://hdl.handle.net/10447/32328

UR - 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

M3 - Article

VL - 176

SP - 159

EP - 176

JO - Studia Mathematica

JF - Studia Mathematica

SN - 0039-3223

ER -

Characterizations of Kurzweil--Henstock--Pettis integrable functions

Abstract

All Science Journal Classification (ASJC) codes

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