Kurzweil-Henstock type integration on Banach spaces.

Luisa Di Piazza

doi:rae/1149698531

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Home > Journals > Real Anal. Exchange > Volume 29 > Issue 2 > Article

2003-2004 Kurzweil-Henstock type integration on Banach spaces.

Luisa Di Piazza

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Luisa Di Piazza¹
¹Department of Mathematics and Applications, University of Palermo

Real Anal. Exchange 29(2): 543-555 (2003-2004).

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Abstract

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.