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A short proof of the self-improving regularity of quasiregular mappings
Author(s):
Daniel
Faraco;
Xiao
Zhong
Journal:
Proc. Amer. Math. Soc.
134
(2006),
187-192.
MSC (2000):
Primary 30C65, 35J60
Posted:
June 2, 2005
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Abstract:
We provide a short proof of a theorem, due to Iwaniec and Martin (1993) and Iwaniec (1992), on the self-improving integrability of quasiregular mappings.
References:
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Additional Information:
Daniel
Faraco
Affiliation:
Max-Planck-Institute for Mathematics in the Sciences, Inselstr. 22 - 26, 04103 Leipzig, Germany
Email:
faraco@mis.mpg.de
Xiao
Zhong
Affiliation:
Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), FIN-40014 University of Jyväskylä, Finland
Email:
zhong@maths.jyu.fi
DOI:
10.1090/S0002-9939-05-07931-1
PII:
S 0002-9939(05)07931-1
Keywords:
Quasiregular mappings,
regularity,
Lipschitz approximation
Received by editor(s):
May 26, 2004
Received by editor(s) in revised form:
August 23, 2004
Posted:
June 2, 2005
Additional Notes:
The first author was supported by the Academy of Finland (Project # 53292) and by the EU (Project# HPRN-CT-2002-00282). The second author was supported by the Academy of Finland (Project # 207288)
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2005,
American Mathematical Society
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