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arXiv · 2401.15388

On sets where lip(f) is infinite for monotone continuous functions

Martin Rmoutil·Thomas Zürcher
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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.

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Martin Rmoutil, Thomas Zürcher. 2024-01-27. On sets where lip(f) is infinite for monotone continuous functions. https://arxiv.org/abs/2401.15388

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