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  • https://doi.org/10.2307/44152945Copy DOI Icon

MULTIPLIERS FOR SOME NON-ABSOLUTE INTEGRALS IN EUCLIDEAN SPACES

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Abstract

In this paper we prove a uniform boundedness theorem and use it to show that if $fg$ is non-absolutely integrable on an interval in Euclidean space for each non-absolute integrable function $f$, then $g$ is almost everywhere a function of strongly bounded variation on $E$.

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