Characterizations of Kurzweil-Henstock-Pettis integrable functions

L. Di Piazza; K. Musiał

Studia Mathematica (2006)

  • Volume: 176, Issue: 2, page 159-176
  • ISSN: 0039-3223

Abstract

top
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.

How to cite

top

L. Di Piazza, and K. Musiał. "Characterizations of Kurzweil-Henstock-Pettis integrable functions." Studia Mathematica 176.2 (2006): 159-176. <http://eudml.org/doc/284724>.

@article{L2006,
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.},
author = {L. Di Piazza, K. Musiał},
journal = {Studia Mathematica},
keywords = {Kurzweil-Henstock integral; Denjoy-Khinchin integral; Pettis integral; Denjoy-Pettis integral},
language = {eng},
number = {2},
pages = {159-176},
title = {Characterizations of Kurzweil-Henstock-Pettis integrable functions},
url = {http://eudml.org/doc/284724},
volume = {176},
year = {2006},
}

TY - JOUR
AU - L. Di Piazza
AU - K. Musiał
TI - Characterizations of Kurzweil-Henstock-Pettis integrable functions
JO - Studia Mathematica
PY - 2006
VL - 176
IS - 2
SP - 159
EP - 176
AB - 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.
LA - eng
KW - Kurzweil-Henstock integral; Denjoy-Khinchin integral; Pettis integral; Denjoy-Pettis integral
UR - http://eudml.org/doc/284724
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.