$L_{p}$ smoothness and approximate continuity
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- by Michael J. Evans and Paul D. Humke PDF
- Proc. Amer. Math. Soc. 92 (1984), 258-262 Request permission
Abstract:
It is known that a measurable smooth function can have only countably many points of discontinuity. A measurable function is constructed here having the property of being ${L_p}$ smooth and having uncountably many points of ${L_p}$ (in fact, approximate) discontinuity.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 258-262
- MSC: Primary 26A15
- DOI: https://doi.org/10.1090/S0002-9939-1984-0754715-7
- MathSciNet review: 754715