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- W1875626076 abstract "We study a Henstock-Kurzweil type integral defined on a complete metric measure space (X) endowed with a Radon measure (mu) and with a family of “cells” (mathcal{F}) that satisfies the Vitali covering theorem with respect to (mu). This integral encloses, in particular, the classical Henstock-Kurzweil integral on the real line, the dyadic Henstock-Kurzweil integral, the Mawhin’s integral [19], and the (s)-HK integral [4]. The main result of this paper is the extension of the usual descriptive characterizations of the Henstock-Kurzweil integral on the real line, in terms of (ACG^*) functions (Main Theorem 1) and in terms of variational measures (Main Theorem 2)." @default.
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- W1875626076 date "2015-01-01" @default.
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- W1875626076 title "An Integral on a Complete Metric Measure Space" @default.
- W1875626076 doi "https://doi.org/10.14321/realanalexch.40.1.0157" @default.
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