The Baire class of approximate symmetric derivates
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- by Lee Larson PDF
- Proc. Amer. Math. Soc. 87 (1983), 125-130 Request permission
Abstract:
It is shown that all approximate symmetric derivatives of measurable functions are in Baire class one. Further, if $f$ is a measurable function which is finite a.e., then its upper and lower approximate symmetric derivates are in Baire class three.References
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C. Goffman, Real functions, Holt, New York, 1964.
- N. K. Kundu, Symmetric derivatives and approximate symmetric derivatives of continuous functions, Rev. Roumaine Math. Pures Appl. 18 (1973), 689–697. MR 320241 L. Larson, The symmetric derivatives, Trans. Amer. Math Soc. (to appear).
- David Preiss, Approximate derivatives and Baire classes, Czechoslovak Math. J. 21(96) (1971), 373–382. MR 286951
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 125-130
- MSC: Primary 26A24
- DOI: https://doi.org/10.1090/S0002-9939-1983-0677247-2
- MathSciNet review: 677247