English

A note on directional Lipschitz continuity in the Euclidean plane

Classical Analysis and ODEs 2023-06-12 v2

Abstract

We prove a stronger version of a conjecture stated in a paper from 2017 by J. M. Ash and S. Catoiu concerning relations between various notions of the Lipschitz property and differentiability in the Euclidean plane. We also provide an improved version of the main result of that paper.

Keywords

Cite

@article{arxiv.2012.00162,
  title  = {A note on directional Lipschitz continuity in the Euclidean plane},
  author = {David Hruška},
  journal= {arXiv preprint arXiv:2012.00162},
  year   = {2023}
}

Comments

6 pages

R2 v1 2026-06-23T20:37:24.913Z