A multidimensional integration by parts formula for the Henstock-Kurzweil integral

Title:

A multidimensional integration by parts formula for the Henstock-Kurzweil integral

Creator:

Lee, Tuo-Yeong

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:16a1eee6-12ab-4a9b-aa4c-637ead9e4cc6
uuid:16a1eee6-12ab-4a9b-aa4c-637ead9e4cc6
doi:10.21136/MB.2008.133945

Subject:

Henstock-Kurzweil integral, bounded variation in the sense of Hardy-Krause, and integration by parts

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

It is shown that if g is of bounded variation in the sense of Hardy-Krause on ∏m i=1 [ai , bi ], then gχ ∏m i=1 (ai ,bi ) is of bounded variation there. As a result, we obtain a simple proof of Kurzweil’s multidimensional integration by parts formula.

Language:

English

Rights:

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

Coverage:

63-74

Source:

Mathematica bohemica | 2008 Volume:133 | Number:1

Harvested from:

CDK

Metadata only:

false