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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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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


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:
  • V. M. Miklyukov
  • Affiliation: Mathematics Department, Volgograd State University, 2 Prodolnaya 30, Volgograd 400062, Russia
  • Email:
  • M. Vuorinen
  • Affiliation: Department of Mathematics, University of Turku, 20014 Turku, Finland
  • MR Author ID: 179630
  • Email:
  • 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:
  • MathSciNet review: 2302564