6533b7defe1ef96bd127675a
RESEARCH PRODUCT
Characterizations of Kurzweil--Henstock--Pettis integrable functions.
L. Di PiazzaKazimierz Musiałsubject
Pettis integralDenjoy Khin hin integralPure mathematicsIntegrable systemGeneral MathematicsMathematical analysisPettis integralKurzweil Hensto k integralKurzweil Hensto k Pettis integralDenjoy Pettis integral.Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-01-01 |