Finely quasiconformal mappings
Abstract
We introduce a relaxed version of the metric definition of quasiconformality that is natural also for mappings of low regularity, including Wloc1,1(Rn;Rn)-mappings. Then we show on the plane that this relaxed definition can be used to prove Sobolev regularity, and that these ``finely quasiconformal'' mappings are in fact quasiconformal.
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