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2003-2004 Some comments on the H1-integral.
Piotr Sworowski
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Real Anal. Exchange 29(2): 789-798 (2003-2004).


In this note we consider two natural attempts to give a descriptive characterization for $H_1$-primitives, and discuss why these attempts fail. Meanwhile we get a new descriptive definition of the Henstock integral. Also, we prove that every Henstock integrable function can be written as a sum of a Lebesgue integrable and an $H_1$-integrable ones.


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Piotr Sworowski. "Some comments on the H1-integral.." Real Anal. Exchange 29 (2) 789 - 798, 2003-2004.


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

MathSciNet: MR2083813

Primary: 26A39

Keywords: $\Hj$-integral , Baire*1 function , Henstock integral

Rights: Copyright © 2003 Michigan State University Press

Vol.29 • No. 2 • 2003-2004
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