On the Property

Stanisław Kowalczyk and Małgorzata Turowska

Abstract and Applied Analysis, 2016, vol. 2016, 1-5

Abstract:

We construct a continuous function such that possesses -property, but does not have approximate derivative on a set of full Lebesgue measure. This shows that Banach’s Theorem concerning differentiability of continuous functions with Lusin’s property does not hold for -property. Some relevant properties are presented.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:1256906

DOI: 10.1155/2016/1256906

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