Kurzweil-Henstock and Kurzweil-Henstock-Pettis integrability of strongly measurable functions

Title:

Kurzweil-Henstock and Kurzweil-Henstock-Pettis integrability of strongly measurable functions

Creator:

Bongiorno, B., Di Piazza, Luisa, and Musiał, Kazimierz

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a8eaf6d0-f89d-4d87-a85d-f1cb8cd49aa3
uuid:a8eaf6d0-f89d-4d87-a85d-f1cb8cd49aa3
doi:10.21136/MB.2006.134086

Subject:

Kurzweil-Henstock integral, Kurzweil-Henstock-Pettis integral, and Pettis integral

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We study the integrability of Banach valued strongly measurable functions defined on [0, 1]. In case of functions f given by ∞∑ n=1 xnχEn , where xn belong to a Banach space and the sets En are Lebesgue measurable and pairwise disjoint subsets of [0, 1], there are well known characterizations for the Bochner and for the Pettis integrability of f (cf Musial (1991)). In this paper we give some conditions for the Kurzweil-Henstock and the Kurzweil-Henstock-Pettis integrability of such functions.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

211-223

Source:

Mathematica bohemica | 2006 Volume:131 | Number:2

Harvested from:

CDK

Metadata only:

false