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arXiv · 2007.13276

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

Bruce Hanson
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Abstract

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

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Bruce Hanson. 2020-07-27. Sets where Lip $f$ is infinite and lip $f$ is finite. https://arxiv.org/abs/2007.13276

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