Measure comparison and distance inequalities for convex bodies Academic Article uri icon

abstract

  • We prove new versions of the isomorphic Busemann-Petty problem for two different measures and show how these results can be used to recover slicing and distance inequalities. We also prove a sharp upper estimate for the outer volume ratio distance from an arbitrary convex body to the unit balls of subspaces of $L_p$.

author list (cited authors)

  • Koldobsky, A., Paouris, G., & Zvavitch, A.

publication date

  • January 1, 2019 11:11 AM