Open Access
Summer 2014 Hölder continuous Sobolev mappings and the Lusin N property
Aleksandra Zapadinskaya
Illinois J. Math. 58(2): 585-591 (Summer 2014). DOI: 10.1215/ijm/1436275500

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.

Citation

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Aleksandra Zapadinskaya. "Hölder continuous Sobolev mappings and the Lusin N property." Illinois J. Math. 58 (2) 585 - 591, Summer 2014. https://doi.org/10.1215/ijm/1436275500

Information

Received: 18 June 2014; Revised: 2 July 2014; Published: Summer 2014
First available in Project Euclid: 7 July 2015

zbMATH: 1331.26021
MathSciNet: MR3367665
Digital Object Identifier: 10.1215/ijm/1436275500

Subjects:
Primary: 26B35 , 28A75 , 28A78 , 46E35

Rights: Copyright © 2014 University of Illinois at Urbana-Champaign

Vol.58 • No. 2 • Summer 2014
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