On $L^{p}$ norms and the equimeasurability of functions
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- by Kenneth F. Andersen PDF
- Proc. Amer. Math. Soc. 40 (1973), 149-153 Request permission
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.References
- Paul L. Butzer and Hubert Berens, Semi-groups of operators and approximation, Die Grundlehren der mathematischen Wissenschaften, Band 145, Springer-Verlag New York, Inc., New York, 1967. MR 0230022, DOI 10.1007/978-3-642-46066-1
- Walter Rudin, Real and complex analysis, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210528
- David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, vol. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 149-153
- MSC: Primary 28A20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0316662-7
- MathSciNet review: 0316662