$L^p$-polarity, Mahler volumes, and the isotropic constant

Bo Berndtsson, Vlassis Mastrantonis, Yanir A. Rubinstein

This article introduces $L^p$ versions of the support function of a convex body $K$ and associates to these canonical $L^p$-polar bodies $K^{\circ ,p}$ and Mahler volumes $\mathcal…