Resumen de The boundary absolute continuity of quasiconformal mappings 2

J. Heinonen

• In this paper a quite complete picture is given of the absolute continuity on the boundary of a quasiconformal map B3 ® D, where B3 is the unit 3-ball and D is a Jordan domain in R3 with boundary 2-rectifiable in the sense of geometric measure theory. Moreover, examples are constructed, for each n = 3, showing that quasiconformal maps from the unit n-ball onto Jordan domains with boundary (n - 1)-rectifiable need not have absolutely continuous boundary values.