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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A short proof of the self-improving regularity of quasiregular mappings
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by Daniel Faraco and Xiao Zhong PDF
Proc. Amer. Math. Soc. 134 (2006), 187-192 Request permission

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
  • MR Author ID: 704525
  • 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
  • Received by editor(s): May 26, 2004
  • Received by editor(s) in revised form: August 23, 2004
  • Published electronically: 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 2005 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 187-192
  • MSC (2000): Primary 30C65, 35J60
  • DOI: https://doi.org/10.1090/S0002-9939-05-07931-1
  • MathSciNet review: 2170558