Approximation of Piecewise Affine Homeomorphisms by Diffeomorphisms
Mora-Corral C, Pratelli A (2014)
Publication Status: Published
Publication Type: Journal article
Publication year: 2014
Journal
Publisher: Springer Verlag (Germany)
Book Volume: 24
Pages Range: 1398-1424
Journal Issue: 3
DOI: 10.1007/s12220-012-9378-1
Abstract
We prove that any countably piecewise affine homeomorphism from an open set of R-2 can be approximated, together with its inverse, by diffeomorphisms in the W-1,W-p and the L-infinity norms.
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APA:
Mora-Corral, C., & Pratelli, A. (2014). Approximation of Piecewise Affine Homeomorphisms by Diffeomorphisms. Journal of Geometric Analysis, 24(3), 1398-1424. https://dx.doi.org/10.1007/s12220-012-9378-1
MLA:
Mora-Corral, Carlos, and Aldo Pratelli. "Approximation of Piecewise Affine Homeomorphisms by Diffeomorphisms." Journal of Geometric Analysis 24.3 (2014): 1398-1424.
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