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Proceedings of the American Mathematical Society

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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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On quasiplanes in Euclidean spaces
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by O. Martio, V. M. Miklyukov and M. Vuorinen PDF
Proc. Amer. Math. Soc. 135 (2007), 2433-2442 Request permission

Abstract:

A variational inequality for the images of $k$-dimensional hyperplanes under quasiconformal maps of the $n$-dimensional Euclidean space is proved when $1\le k\le n-2.$
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Additional Information
  • O. Martio
  • Affiliation: Department of Mathematics and Statistics, University of Helsinki, 00014 Helsinki, Finland
  • MR Author ID: 120710
  • Email: martio@cc.helsinki.fi
  • V. M. Miklyukov
  • Affiliation: Mathematics Department, Volgograd State University, 2 Prodolnaya 30, Volgograd 400062, Russia
  • Email: miklyuk@hotmail.com
  • M. Vuorinen
  • Affiliation: Department of Mathematics, University of Turku, 20014 Turku, Finland
  • MR Author ID: 179630
  • Email: vuorinen@utu.fi
  • Received by editor(s): April 27, 2004
  • Received by editor(s) in revised form: July 18, 2005, and November 6, 2005
  • Published electronically: April 5, 2007
  • Communicated by: Andreas Seeger
  • © Copyright 2007 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 2433-2442
  • MSC (2000): Primary 30C62, 30C65
  • DOI: https://doi.org/10.1090/S0002-9939-07-09117-4
  • MathSciNet review: 2302564