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arXiv · 0904.3090

An N-dimensional version of the Beurling-Ahlfors extension

Leonid V. Kovalev·Jani Onninen
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Abstract

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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Leonid V. Kovalev, Jani Onninen. 2009-04-27. An N-dimensional version of the Beurling-Ahlfors extension. https://doi.org/10.5186/aasfm.2011.3620

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