Luzin-type properties and the difference quotient of a real function
Classical Analysis and ODEs
2018-05-21 v1
Abstract
We introduce the notion of the difference quotient set of a real valued function on a set , and compare this set to the range of on . We discuss the measure theoretic properties of both the range and the difference quotient set of over under different assumptions on and .
Cite
@article{arxiv.1805.06919,
title = {Luzin-type properties and the difference quotient of a real function},
author = {Yuri Andreev and Trevor J Richards},
journal= {arXiv preprint arXiv:1805.06919},
year = {2018}
}