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arXiv:2401.15388 [math.CA]AbstractReferencesReviewsResources

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

Martin Rmoutil, Thomas Zürcher

Published 2024-01-27Version 1

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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