Real Analysis Exchange

Additive Properties of Certain Classes of Pathological Functions

Alexander B. Kharazishvili

Full-text: Open access

Abstract

Some additive properties of the following three families of “pathological” functions are briefly discussed: continuous nowhere differentiable functions, Sierpiński-Zygmund functions, and absolutely nonmeasurable functions.

Article information

Source
Real Anal. Exchange, Volume 38, Number 2 (2012), 475-486.

Dates
First available in Project Euclid: 27 June 2014

Permanent link to this document
https://projecteuclid.org/euclid.rae/1403894906

Mathematical Reviews number (MathSciNet)
MR3261891

Zentralblatt MATH identifier
1303.28001

Subjects
Primary: 28A05: Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets [See also 03E15, 26A21, 54H05] 28D05: Measure-preserving transformations
Secondary: 26A05

Keywords
additive properties continuous nowhere differentiable function Sierpinski-Zygmund function absolutely nonmeasurable function

Citation

Kharazishvili, Alexander B. Additive Properties of Certain Classes of Pathological Functions. Real Anal. Exchange 38 (2012), no. 2, 475--486. https://projecteuclid.org/euclid.rae/1403894906


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