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Hyperplane conjecture for quotient spaces of

which is still the best known estimate for arbitrary convex bodies. Another class consists of convex bodies with small volume ratio with respect to the ellipsoid of minimal volume. This includes the class of zonoids. K. Ball [BA] solved the problem for the duals of zonoids, i.e. unit balls of subspaces of an L1-space, briefly L1-sections. Theorem 1 (K. Ball) For a convex, symmetric body K ⊂ IR one has