On an extension of the Blaschke-Santalo inequality
Alonso-Gutierrez, David
Original · EN
Let K be a convex body and K∘ its polar body. Call ϕ(K)=1/|K||K∘|∫ₖ∫ₖ∘< x,y>² dxdy. It is conjectured that ϕ(K) is maximum when K is the euclidean ball. In particular this statement implies the Blaschke-Santalo inequality. We verify this conjecture when K is restricted to be a p--ball.
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