An absolutely continuous function whose inverse functionis not absolutely continuous

Authors

  • Silvia Spataru

DOI:

https://doi.org/10.1285/i15900932v23n1p47

Keywords:

Absolutely continuous functions, Cantor functions

Abstract

We construct a strictly increasing function $f:[0,1] \to [0,1]$ such that $f(0)=1,f$ is absolutely continuous, and $f^-1$ is not absolutely continuous. Functions of this type are very scarce in the literature.

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Published

01-01-2004

Issue

Volume 23, Issue 1 (2004)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode