Illinois Journal of Mathematics

Hölder continuous Sobolev mappings and the Lusin N property

Aleksandra Zapadinskaya

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Abstract

We give a new proof for the result of J. Malý and O. Martio, stating that Hölder continuous mappings in $W^{1,n}$ satisfy the Lusin N property. We further generalize this result to a metric setting.

Article information

Source
Illinois J. Math., Volume 58, Number 2 (2014), 585-591.

Dates
Received: 18 June 2014
Revised: 2 July 2014
First available in Project Euclid: 7 July 2015

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1436275500

Digital Object Identifier
doi:10.1215/ijm/1436275500

Mathematical Reviews number (MathSciNet)
MR3367665

Zentralblatt MATH identifier
1331.26021

Subjects
Primary: 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems 26B35: Special properties of functions of several variables, Hölder conditions, etc. 28A75: Length, area, volume, other geometric measure theory [See also 26B15, 49Q15] 28A78: Hausdorff and packing measures

Citation

Zapadinskaya, Aleksandra. Hölder continuous Sobolev mappings and the Lusin N property. Illinois J. Math. 58 (2014), no. 2, 585--591. doi:10.1215/ijm/1436275500. https://projecteuclid.org/euclid.ijm/1436275500


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References

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