On sets where lip(f) is infinite for monotone continuous functions
Classical Analysis and ODEs
2024-01-30 v1
Abstract
Given an F-sigma-delta subset A of the real line R of Lebesgue measure zero, we construct a monotone absolutely continuous function f from R to R such that the little Lipschitz constant of f is equal to infinity exactly at points of A.
Keywords
Cite
@article{arxiv.2401.15388,
title = {On sets where lip(f) is infinite for monotone continuous functions},
author = {Martin Rmoutil and Thomas Zürcher},
journal= {arXiv preprint arXiv:2401.15388},
year = {2024}
}