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

  • Valentin Skvortsov EMAIL logo and Francesco Tulone

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.

MSC 2010: 26A39; 28C15

Funding statement: This work was supported by RFBR, project number 20-01-00584.

References

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Received: 2017-12-17
Revised: 2019-01-19
Accepted: 2019-01-22
Published Online: 2019-11-26
Published in Print: 2021-06-01

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