An N-dimensional version of the Beurling-Ahlfors extension
classification
🧮 math.CV
keywords
extensionbeurling-ahlforscasedimensionexplicitlyextendgivenintegral
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We extend monotone quasiconformal mappings from dimension n to n+1 while preserving both monotonicity and quasiconformality. The extension is given explicitly by an integral operator. In the case n=1 it yields a refinement of the Beurling-Ahlfors extension.
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