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2003-2004 Change of variable in Kurzweil-Henstock Stieltjes integrals.
Solomon Leader
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Real Anal. Exchange 29(2): 905-920 (2003-2004).


We present conditions under which one may substitute the identity function for $h$ in Kurzweil-Henstock integrals of the form $\int(f\circ h)\,d(g\circ h)$ reducing them to equivalent integrals of the form $\int f\,dg$\,. Our study requires that we also consider reduction of $\int (f\circ g) |d(g\circ h)|$ to $\int Nf|dg|$ where $N$ is the Banach indicatrix of $h$.


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Solomon Leader. "Change of variable in Kurzweil-Henstock Stieltjes integrals.." Real Anal. Exchange 29 (2) 905 - 920, 2003-2004.


Published: 2003-2004
First available in Project Euclid: 7 June 2006

zbMATH: 1073.26003
MathSciNet: MR2083825

Primary: 26A39 , 26A42 , 26A45

Keywords: Banach indicatrix , Bounded variation , endpoint-tagged partition , Kurzweil-Henstock Stieltjes integrals

Rights: Copyright © 2003 Michigan State University Press

Vol.29 • No. 2 • 2003-2004
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