DUAL $L_{p}$ JOHN ELLIPSOIDS
DUAL $L_{p}$ JOHN ELLIPSOIDS
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DOI：
10.1017/s0013091506000332
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发表时间：
2007-10
影响因子：
0.7
通讯作者：
Wu-Yang Yu;G. Leng;Donghua Wu
中科院分区：
文献类型：
--
作者：
Wu-Yang Yu;G. Leng;Donghua Wu
本文研究了对偶Lp约翰椭球，包括经典Löwner椭球和Legendre椭球。给出了John包含和Ball体积比不等式的对偶形式L_p。这一见解允许一个统一的看法，凸几何的一些基本结果，并进一步揭示了惊人的二重性之间的Brunn-Minkowski理论和对偶Brunn-Minkowski理论。
Abstract In this paper, the dual $L_p$ John ellipsoids, which include the classical Löwner ellipsoid and the Legendre ellipsoid, are studied. The dual $L_p$ versions of John's inclusion and Ball's volume-ratio inequality are shown. This insight allows for a unified view of some basic results in convex geometry and reveals further the amazing duality between Brunn–Minkowski theory and dual Brunn–Minkowski theory.