Banach-valued Henstock-Kurzweil integrable functions are McShane integrable on a portion

Title:

Banach-valued Henstock-Kurzweil integrable functions are McShane integrable on a portion

Creator:

Lee, Tuo-Yeong

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f59ff5c6-ac8c-48f8-a963-b81d137b532c
uuid:f59ff5c6-ac8c-48f8-a963-b81d137b532c

Subject:

Henstock-Kurzweil integral and McShane integral

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

It is shown that a Banach-valued Henstock-Kurzweil integrable function on an m-dimensional compact interval is McShane integrable on a portion of the interval. As a consequence, there exist a non-Perron integrable function f : [0, 1]2 −→ R and a continuous function F : [0, 1]2 −→ R such that (P)∫ x0{ (P) ∫ y 0 f(u, v) dv } du = (P) ∫ y 0 { (P) ∫ x 0 f(u, v) du } dv = F(x, y) for all (x, y) ∈ [0, 1]2.

Language:

English

Rights:

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

Coverage:

349-354

Source:

Mathematica bohemica | 2005 Volume:130 | Number:4

Harvested from:

CDK

Metadata only:

false