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- https://doi.org/10.2307/44152945
MULTIPLIERS FOR SOME NON-ABSOLUTE INTEGRALS IN EUCLIDEAN SPACES
- Jan 1, 1998
- Real Analysis Exchange
- Tuo-Yeong
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 $E$.
- # Interval In Space
- # Uniform Theorem
- # Uniform Boundedness Theorem
- # Boundedness Theorem
- # Uniform Boundedness
- # Integrable Function
- # Euclidean Space
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