Czechoslovak Mathematical Journal, Vol. 61, No. 4, pp. 1091-1106, 2011

Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions

Kirill Naralenkov

K. Naralenkov, Moscow State Institute of International Relations, Department of Mathematical Methods and Information Technologies, Vernadskogo Ave. 76, 119454 Moscow, Russian Federation, e-mail: naralenkov@gmail.com

Abstract: We make some comments on the problem of how the Henstock-Kurzweil integral extends the McShane integral for vector-valued functions from the descriptive point of view.

Keywords: Henstock-Kurzweil integral, McShane integral, Pettis integral, $AC$, $AC_*$, and $AC_{\delta}$ functions, Alexiewicz norm

Classification (MSC 2010): 26A39, 28B05


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