The diameter conjecture for quasiconformal maps is true in space
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- by Juha Heinonen PDF
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Abstract:
The diameter conjecture for quasiconformal maps is a natural generalization of the Hayman-Wu theorem on level sets of a univalent function. Astala, Fernández, and Rohde recently disproved this conjecture in the plane. Here we show it is true in space.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1709-1718
- MSC: Primary 30C65
- DOI: https://doi.org/10.1090/S0002-9939-1995-1234626-0
- MathSciNet review: 1234626