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2021 Variational measure with respect to measurable gauges
Narinder Singh, Surinder Pal Singh Kainth
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Real Anal. Exchange 46(1): 247-260 (2021). DOI: 10.14321/realanalexch.46.1.0247

Abstract

We define variational measure with respect to measurable gauges and explore its properties. Further we establish that for continuous additive interval functions, it agrees with the usual variational measure on measurable sets.

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Narinder Singh. Surinder Pal Singh Kainth. "Variational measure with respect to measurable gauges." Real Anal. Exchange 46 (1) 247 - 260, 2021. https://doi.org/10.14321/realanalexch.46.1.0247

Information

Published: 2021
First available in Project Euclid: 14 October 2021

Digital Object Identifier: 10.14321/realanalexch.46.1.0247

Subjects:
Primary: 26A39 , 26A42
Secondary: 26A45

Keywords: Henstock-Kurzweil integral , measurable gauges , variational measure

Rights: Copyright © 2021 Michigan State University Press

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Vol.46 • No. 1 • 2021
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