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On the area distortion by quasiconformal mappings


Authors: A. Erëmenko and D. H. Hamilton
Journal: Proc. Amer. Math. Soc. 123 (1995), 2793-2797
MSC: Primary 30C62
DOI: https://doi.org/10.1090/S0002-9939-1995-1283548-8
MathSciNet review: 1283548
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Abstract: We give the sharp constants in the area distortion inequality for quasiconformal mappings in the plane.

References [Enhancements On Off] (What's this?)

  • [1] K. Astala, Area distortion of quasiconformal mappings, Acta Math. 173 (1994), 37-60. MR 1294669 (95m:30028b)
  • [2] A. Eremenko, On Astala's proof of the area distortion theorem for quasiconformal mappings, preprint, December 1992.
  • [3] F. Gehring and E. Reich, Area distortion under quasiconformal mappings, Ann. Acad. Sci. Fenn. Ser. AI 388 (1966), 1-14. MR 0201635 (34:1517)
  • [4] D. Hamilton, Area distortion of quasiconformal mappings, preprint, December 1992. MR 1966192 (2004k:30041)
  • [5] O. Lehto and K. Virtanen, Quasiconformal mappings in the plane, Springer-Verlag, Berlin and New York, 1973. MR 0344463 (49:9202)

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DOI: https://doi.org/10.1090/S0002-9939-1995-1283548-8
Keywords: Quasiconformal mappings
Article copyright: © Copyright 1995 American Mathematical Society

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