I am studying the notion of absolute continuity. I understood the definition of absolute continuity. I found many references where they use the notion of "local absolute continuity", but I did not find yet a definition of this concept.
Thank you in advance for your answers
It's said a function is locally (refering to every bounded interval) absolutely continuous if and only if its distributional derivative is a measure that is absolutely continuous with respect to the Lebesgue measure.