English

Sets where Lip $f$ is infinite and lip $f$ is finite

Classical Analysis and ODEs 2020-07-28 v1

Abstract

We characterize the subsets ERE \subset \mathbb{R} for which there exists a continuous real valued function f:RRf: \mathbb{R}\to\mathbb{R} such that lip ff is finite everywhere and Lip ff is infinite exactly on EE.

Keywords

Cite

@article{arxiv.2007.13276,
  title  = {Sets where Lip $f$ is infinite and lip $f$ is finite},
  author = {Bruce Hanson},
  journal= {arXiv preprint arXiv:2007.13276},
  year   = {2020}
}