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

Autor:	Rmoutil, Martin, Zürcher, Thomas
Rok vydání:	2024
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.15388 Zobrazit plný text záznamu View this record from Arxiv