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 | References | Similar Articles | Additional Information
Abstract: We give the sharp constants in the area distortion inequality for quasiconformal mappings in the plane.
- [1] Kari Astala, Area distortion of quasiconformal mappings, Acta Math. 173 (1994), no. 1, 37–60. MR 1294669, https://doi.org/10.1007/BF02392568
- [2] A. Eremenko, On Astala's proof of the area distortion theorem for quasiconformal mappings, preprint, December 1992.
- [3] F. W. Gehring and E. Reich, Area distortion under quasiconformal mappings, Ann. Acad. Sci. Fenn. Ser. A I No. 388 (1966), 15. MR 0201635
- [4] D. H. Hamilton, Area distortion of quasiconformal mappings, Handbook of complex analysis: geometric function theory, Vol. 1, North-Holland, Amsterdam, 2002, pp. 147–160. MR 1966192, https://doi.org/10.1016/S1874-5709(02)80007-5
- [5] O. Lehto and K. I. Virtanen, Quasiconformal mappings in the plane, 2nd ed., Springer-Verlag, New York-Heidelberg, 1973. Translated from the German by K. W. Lucas; Die Grundlehren der mathematischen Wissenschaften, Band 126. MR 0344463
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1995-1283548-8
Keywords:
Quasiconformal mappings
Article copyright:
© Copyright 1995
American Mathematical Society
