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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On $ L\sp{p}$ norms and the equimeasurability of functions


Author: Kenneth F. Andersen
Journal: Proc. Amer. Math. Soc. 40 (1973), 149-153
MSC: Primary 28A20
MathSciNet review: 0316662
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Abstract: For measurable functions $ f$ and $ g$, necessary and sufficient conditions are given for the equality of certain $ {L^p}$ norms of $ f$ and $ g$ to imply that $ f$ and $ g$ are equimeasurable.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0316662-7
Article copyright: © Copyright 1973 American Mathematical Society