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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013 Number 6, Pages 9–13 (Mi vmumm444)

This article is cited in 9 papers

Mathematics

Generalized Hake property for integrals of Henstock type

V. A. Skvortsova, F. Tuloneb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Department of Mathematics and Computer Science of the University of Palermo

Abstract: A Henstock–Kurzweil type integral with respect to an abstract derivation basis in a topological space is considered. It is proved that under certain assumption put on the basis, a generalized Hake property holds true for this integral.

Key words: Henstock–Kurzweil integral, abstract derivation basis, Hake property.

UDC: 517.518.43

Received: 26.04.2012


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2013, 68:6, 270–274

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