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.
Skvortsov V., Tulone F. (2021). A version of Hake's theorem for Kurzweil-Henstock integral in terms of variational measure. GEORGIAN MATHEMATICAL JOURNAL, 28(3), 471-476 [10.1515/gmj-2019-2074].
A version of Hake's theorem for Kurzweil-Henstock integral in terms of variational measure
Tulone F.
2021-01-01
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.
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