This is an announcement for the paper "On an extension of the Blaschke-Santalo inequality" by David Alonso-Gutierrez.

Abstract: Let $K$ be a convex body and $K^\circ$ its polar body. Call $\phi(K)=\frac{1}{|K||K^\circ|}\int_K\int_{K^\circ}\langle x,y\rangle^2 dxdy$. It is conjectured that $\phi(K)$ 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.

Archive classification: math.FA

Mathematics Subject Classification: 52A20; 52A40; 46B20

Remarks: 7 pages

The source file(s), p-balls5.tex: 18249 bytes, is(are) stored in gzipped form as 0710.5907.gz with size 6kb. The corresponding postcript file has gzipped size 65kb.

Submitted from: 498220@celes.unizar.es

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