
Journal of Convex Analysis 14 (2007), No. 4, 879889 Copyright Heldermann Verlag 2007 On pQuasiconvex Hulls of Matrix Sets Baisheng Yan Dept. of Mathematics, Michigan State University, East Lansing, MI 48824, U.S.A. yan@math.msu.edu We present some basic properties and equivalent definitions of the pquasiconvex hull of a given set of matrices. In particular, we completely characterize the pquasiconvex hull in terms of the W^{1,p}gradient Young measures studied by D. Kinderlehrer and P. Pedregal ["Gradient Young measures generated by sequences in Sobolev spaces", J. Geom. Anal. 4 (1994) 5990] and establish an important relationship with the weak convergence in Sobolev spaces. We also give some simple characterization of the pquasiconvex hulls for certain special sets. [ Fulltextpdf (159 KB)] for subscribers only. 