[Banach] Abstract of a paper by David Alonso-Gutierrez
alspach at www.math.okstate.edu
Sun Nov 4 08:06:30 CST 2007
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.
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
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Submitted from: 498220 at celes.unizar.es
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