Full non-differentiability sets of typical Lipschitz functions
Functional Analysis
2019-09-02 v2 Metric Geometry
Abstract
In this paper we prove that the typical Lipschitz function has no directional derivative at any point of a Borel set if and only if is contained in a countable union of closed purely unrectifiable sets.
Cite
@article{arxiv.1906.08366,
title = {Full non-differentiability sets of typical Lipschitz functions},
author = {Andrea Merlo},
journal= {arXiv preprint arXiv:1906.08366},
year = {2019}
}