On the distortion of 𝑛-dimensional quasiconformal mappings

Vuorinen, Matti

doi:10.1090/S0002-9939-1986-0818458-5

On the distortion of $n$-dimensional quasiconformal mappings
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Proc. Amer. Math. Soc. 96 (1986), 275-283 Request permission

Abstract:

A new upper bound $c(n,K)$ for the linear dilatation of a $K$-quasiconformal mapping of a domain in ${R^n}$ is proved. This upper bound substantially improves the previously known $n$-dimensional bound and it is asymptotically sharp when $n = 2$.

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