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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Mappings of finite distortion: The sharp modulus of continuity
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by Pekka Koskela and Jani Onninen PDF
Trans. Amer. Math. Soc. 355 (2003), 1905-1920 Request permission

Abstract:

We establish an essentially sharp modulus of continuity for mappings of subexponentially integrable distortion.
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Additional Information
  • Pekka Koskela
  • Affiliation: University of Jyväskylä, Department of Mathematics and Statistics, P.O. Box 35, Fin-40351 Jyväskylä, Finland
  • MR Author ID: 289254
  • Email: pkoskela@maths.jyu.fi
  • Jani Onninen
  • Affiliation: University of Jyväskylä, Department of Mathematics and Statistics, P.O. Box 35, Fin-40351 Jyväskylä, Finland
  • MR Author ID: 679509
  • Email: jaonnine@maths.jyu.fi
  • Received by editor(s): January 25, 2002
  • Published electronically: January 10, 2003
  • Additional Notes: The authors were supported in part by the Academy of Finland, project 39788. The second author was also supported by the foundations Magnus Ehrnroothin Säätiö and Vilho, Yrjö ja Kalle Väisälän Rahasto. This research was completed when the authors were visiting at the University of Michigan, Pekka Koskela as the Fred and Lois Gehring professor. They wish to thank the Institute for the hospitality
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 355 (2003), 1905-1920
  • MSC (2000): Primary 30C65
  • DOI: https://doi.org/10.1090/S0002-9947-03-03090-3
  • MathSciNet review: 1953531