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

Published 27 Jan 2024 in math.CA | (2401.15388v1)

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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