A short proof of the self-improving regularity of quasiregular mappings.

Xiao Zhong and Daniel Faraco

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Submission date: 09. Dec. 2002
Pages: 8
published in: Proceedings of the American Mathematical Society, 134 (2006) 1, p. 187-192 
DOI number (of the published article): 10.1090/S0002-9939-05-07931-1
Bibtex
MSC-Numbers: 30C65, 35J60
Keywords and phrases: quasiregular mappings, regularity, lipschitz
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Abstract:
We provide a short proof of a theorem, due to Iwaniec& Martin and Iwaniec, on the self improving integrability of quasiregular mappings. The proof relies on Lipschitz approximations of Sobolev functions.