Measure comparison and distance inequalities for convex bodies

نویسندگان

چکیده

We prove new versions of the isomorphic Busemann-Petty problem for two different measures and show how these results can be used to recover slicing distance inequalities. also a sharp upper estimate outer volume ratio from an arbitrary convex body unit balls subspaces $L_p$.

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ژورنال

عنوان ژورنال: Indiana University Mathematics Journal

سال: 2022

ISSN: ['1943-5258', '0022-2518', '1943-5266']

DOI: https://doi.org/10.1512/iumj.2022.71.8838