Narrow spaces, products of topological spaces and supertiny sequences of A. Szymański

Aleksandr I. Veksler

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Štefan Schwabik, Ivo Vrkoč (1996)

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For the Kurzweil-Henstock integral the equiintegrability of a pointwise convergent sequence of integrable functions implies the integrability of the limit function and the relation m abfm(s)s = abm fm(s)s. Conditions for the equiintegrability of a sequence of functions pointwise convergent to an integrable function are presented. These conditions are given in terms of convergence of some sequences of integrals.

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