On $L_p$-Brunn-Minkowski type and $L_p$-isoperimetric type inequalities for general measures

Michael Roysdon, Sudan Xing

In 2011 Lutwak, Yang and Zhang extended the definition of the $L_p$-Minkowski convex combination ($p\ge 1$) introduced by Firey in the 1960s from convex bodies containing the ori…