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- W2952327797 abstract "We prove the following theorem. Let $mu$ be a measure on $R^n$ with even continuous density, and let $K,L$ be origin-symmetric convex bodies in $R^n$ so that $mu(Kcap H)le mu(Lcap H)$ for any central hyperplane H. Then $mu(K)le sqrt{n} mu(L).$ We also prove this result with better constants for some special classes of measures and bodies. Finally, we prove a version of the hyperplane inequality for convex measures." @default.
- W2952327797 created "2019-06-27" @default.
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- W2952327797 date "2014-05-03" @default.
- W2952327797 modified "2023-09-27" @default.
- W2952327797 title "An isomorphic version of the Busemann-Petty problem for arbitrary measures" @default.
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