Orlicz–John ellipsoids
Orlicz–John ellipsoids
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DOI：
10.1016/j.aim.2014.07.034
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发表时间：
2014-11
影响因子：
1.7
通讯作者：
Du Zou;Ge Xiong
中科院分区：
文献类型：
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作者：
Du Zou;Ge Xiong
摘要在蓬勃发展的Orlicz Brunn-Minkowski理论的框架下，首次引入了Orlicz-John椭球。证明它们是经典的约翰椭球和演化的L p约翰椭球的推广。对于新的Orlicz-John椭球，建立了Ball体积比不等式的模拟。证明了测度的各向同性与Orlicz-John椭球的刻划之间的联系。
Abstract The Orlicz–John ellipsoids, which are in the framework of the booming Orlicz Brunn–Minkowski theory, are introduced for the first time. It turns out that they are generalizations of the classical John ellipsoid and the evolved L p John ellipsoids. The analog of Ball's volume-ratio inequality is established for the new Orlicz–John ellipsoids. The connection between the isotropy of measures and the characterization of Orlicz–John ellipsoids is demonstrated.