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On the $L_p$ Brunn--Minkowski inequality for planar dual quermassintegrals
We determine the sharp $L_p$ Brunn--Minkowski range for planar dual quermassintegrals on origin-symmetric convex bodies: $0<q\leq 2$ for $0\leq p<1$, and $0<q\leq4$ for $p=1$. The main new results are the Minkowski inequality for $2<q<4$, proved using a weighted spectral inequality on the projective
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