Real Analysis Exchange

Multipliers for Some Non-Absolute Integrals in Euclidean Spaces

Lee Tuo-Yeong

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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 $E$.

Article information

Real Anal. Exchange, Volume 24, Number 1 (1998), 149-160.

First available in Project Euclid: 23 March 2011

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A39: Denjoy and Perron integrals, other special integrals

non-absolute integrals


Tuo-Yeong, Lee. Multipliers for Some Non-Absolute Integrals in Euclidean Spaces. Real Anal. Exchange 24 (1998), no. 1, 149--160.

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