A version of Hake’s theorem for Kurzweil–Henstock integral in terms of variational measure-Reference-Cited by-同舟云学术

A version of Hake’s theorem for Kurzweil–Henstock integral in terms of variational measure

Published:2019-11-26 Issue:3 Volume:28 Page:471-476
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Skvortsov Valentin¹,Tulone Francesco²

Affiliation:

1. Moscow Center for Fundamental and Applied Mathematics and Department of Mathematics , Moscow State University , Moscow 119899 , Russia

2. Department of Mathematics and Computer Science , Palermo University , Palermo , Italy

Abstract

Abstract We introduce the notion of variational measure with respect to a derivation basis in a topological measure space and consider a Kurzweil–Henstock-type integral related to this basis. We prove a version of Hake’s theorem in terms of a variational measure.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2019-2074/pdf

Reference23 articles.

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5. J. Kurzweil and J. Jarník, Differentiability and integrability in n dimensions with respect to α-regular intervals, Results Math. 21 (1992), no. 1–2, 138–151.

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