General Measure Extensions of Projection Bodies

Dylan Langharst, Michael Roysdon, Artem Zvavitch

The inequalities of Petty and Zhang are affine isoperimetric-type inequalities providing sharp bounds for ${\text{vol}}_n^{n-1}(K){\text{vol}}_n({\Pi }^{\circ }K),$ where $\Pi K$ is a projecti…