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2003-2004 Kurzweil-Henstock type integration on Banach spaces.
Luisa Di Piazza
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Real Anal. Exchange 29(2): 543-555 (2003-2004).


In this paper properties of Kurzweil-Henstock and Kurzweil-Henstock-Pettis integrals for vector-valued functions are studied. In particular, the absolute integrability for Kurzweil-Henstock integrable functions is characterized and a Kurzweil-Henstock version of the Vitali Theorem for Pettis integrable functions is given.


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Luisa Di Piazza. "Kurzweil-Henstock type integration on Banach spaces.." Real Anal. Exchange 29 (2) 543 - 555, 2003-2004.


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

zbMATH: 1083.28007
MathSciNet: MR2083796

Primary: 28B05
Secondary: 26A39

Keywords: Equiintegrability , Kurzweil-Henstock integral , Pettis integral

Rights: Copyright © 2003 Michigan State University Press

Vol.29 • No. 2 • 2003-2004
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