An N-dimensional version of the Beurling-Ahlfors extension

Details An N-dimensional version of the Beurling-Ahlfors extension An N-dimensional version of the Beurling-Ahlfors extension

2009-04-20

arxiv.org/abs/0904.3090v2

Ann. Acad. Sci. Fenn. Math. 36 (2011), 321-329

Mathematics

Complex Variables

9 pages. Added references, edited concluding remarks

Scientific paper

10.5186/aasfm.2011.3620

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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