
Journal of Convex Analysis 08 (2001), No. 1, 269278 Copyright Heldermann Verlag 2001 Semiconvex Hulls of Quasiconformal Sets Baisheng Yan Dept. of Mathematics, Michigan State University, East Lansing, MI 48824, U.S.A. We make some remarks concerning the psemiconvex hulls of the quasiconformal sets, using a recent significant observation of T. Iwaniec ["Nonlinear CauchyRiemann operators in R^{n}", Trans. Am. Math. Soc. 354 (2002) 19611995] on the important relation between the regularity of quasiregular mappings in the theory of geometric functions and the notion of Morrey's quasiconvexity in the calculus of variations. We also point out several partial results on a conjecture in that paper. [ Fulltextpdf (288 KB)] 