On the inverse absolute continuity of quasiconformal mappings on hypersurfaces

Dimitrios Ntalampekos, Matthew Romney

We construct quasiconformal mappings $f:{\mathbb{R}}^3\to {\mathbb{R}}^3$ for which there is a Borel set $E\subset {\mathbb{R}}^2\times \{0\}$ of positive Lebesgue $…