The McShane, PU and Henstock integrals of Banach valued functions

Title:

The McShane, PU and Henstock integrals of Banach valued functions

Creator:

Di Piazza, Luisa and Marraffa, Valeria

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a1f06727-f7cb-44f0-b6cd-c7c3a15b0b0b
uuid:a1f06727-f7cb-44f0-b6cd-c7c3a15b0b0b

Subject:

Pettis, McShane, PU and Henstock integrals, variational integrals, and multipliers

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Some relationships between the vector valued Henstock and McShane integrals are investigated. An integral for vector valued functions, defined by means of partitions of the unity (the PU-integral) is studied. In particular it is shown that a vector valued function is McShane integrable if and only if it is both Pettis and PU-integrable. Convergence theorems for the Henstock variational and the PU integrals are stated. The families of multipliers for the Henstock and the Henstock variational integrals of vector valued functions are characterized.

Language:

English

Rights:

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

Coverage:

609-633

Source:

Czechoslovak Mathematical Journal | 2002 Volume:52 | Number:3

Harvested from:

CDK

Metadata only:

false