On the Property

By S. Kowalczyk, M. Turowska. 2016

78 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/520395990f5638ff9ef1171f30814270b8cc6071