Article

Czechoslovak Mathematical Journal

, Volume 58, Issue 4, pp 1221-1231

A measure-theoretic characterization of the Henstock-Kurzweil integral revisited

  • Tuo-Yeong LeeAffiliated withMathematics and Mathematics Education, National Institute of Education, Nanyang Technological University Email author 

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Abstract

In this paper we show that the measure generated by the indefinite Henstock-Kurzweil integral is F σδ regular. As a result, we give a shorter proof of the measure-theoretic characterization of the Henstock-Kurzweil integral.

Keywords

Henstock variational measure Henstock-Kurzweil integral