A remark on the maximal dilatation of a quasiconformal mapping
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- by Matti Vuorinen
- Proc. Amer. Math. Soc. 92 (1984), 505-508
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760934-6
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Abstract:
A lower bound for the maximal dilatation of a quasiconformal self-mapping of a uniform domain $G$ in ${R^n}$ with connected boundary is proved provided that the boundary is kept pointwise fixed by the mapping and that a prescribed point $a$ is mapped on another point $b$ in $G$. The lower bound is given in terms of the quasihyperbolic distance from $a$ to $b$.References
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Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 505-508
- MSC: Primary 30C60
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760934-6
- MathSciNet review: 760934