Stronger versions of the Orlicz-Petty projection inequality
نویسندگان
چکیده
منابع مشابه
Stronger versions of the Orlicz-Petty projection inequality
We verify a conjecture of Lutwak, Yang, Zhang about the equality case in the Orlicz-Petty projection inequality, and provide an essentially optimal stability version. The Petty projection inequality (Theorem 1), its Lp extension, and its analytic counterparts, the Zhang-Sobolev inequality [43] and its Lp extension by A. Cianchi, E. Lutwak, D. Yang, G. Zhang [8, 32], are fundamental affine isope...
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The ratio between the volume of the p-centroid body of a convex body K in Rn and the volume of K attains its minimum value if and only if K is an origin symmetric ellipsoid. This result, the Lp-Busemann-Petty centroid inequality, was recently proved by Lutwak, Yang and Zhang. In this paper we show that all the intrinsic volumes of the p-centroid body of K are convex functions of a time-like par...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2013
ISSN: 0022-040X
DOI: 10.4310/jdg/1376053446