Dilatation estimates for quasiconformal extensions |
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| Authors: | Marjatta Näätänen |
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| Institution: | (1) Department of Mathematics, University of Helsinki, Helsinki, Finland |
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| Abstract: | LetD andD′ be ring domains inB
n
, withS
n−1 as one boundary component, and let
be a homeomorphism which isK-quasiconformal inD and withf(S
n−1)=S
n−1. According to a result of Gehringf÷S
n−1 admits an extension
which is quasiconformal inB
n
. We find here an upper bound for the dilatation ofg in terms ofn, K, and modD.
This work was started during a visit to Université de Paris, financed by a cultural exchange program between France and Finland. |
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| Keywords: | |
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