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

???subjectarea.asjc.2600.2600???

Altri file e collegamenti

Fingerprint Entra nei temi di ricerca di 'Characterizations of Kurzweil--Henstock--Pettis integrable functions'. Insieme formano una fingerprint unica.

Cita questo

@article{439149ff908a4aa19197ce73aa8879cf,

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",

pages = "159--176",

journal = "Studia Mathematica",

issn = "0039-3223",

publisher = "Instytut Matematyczny",

}

TY - JOUR

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 -