On the $L_p$ Brunn--Minkowski inequality for planar dual quermassintegrals

Jiangyan Tao

We determine the sharp $L_p$ Brunn--Minkowski range for planar dual quermassintegrals on origin-symmetric convex bodies: $0<q\le 2$ for $0\le p<1$, and $0<q\le 4$ for $p=1$. The…