Lp截面体

朱先阳; 冷岗松

Lp截面体

上海大学数学系,上海 200444

基金项目: 国家自然科学基金资助项目(10671117)

详细信息

作者简介:
朱先阳(1969- ),男,湖南湘潭人,博士(E-mail:xyzhu17@163.com);冷岗松(1961- ),男,湖南平江人,教授,博士,博士生导师(联系人.Tel/Fax:+86-21-66132398;E-mail:gleng@staff.shu.edu.cn).

中图分类号: O184
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- 被引次数: 0
出版历程
- 收稿日期: 2006-11-07
- 修回日期: 2007-11-16
- 刊出日期: 2007-12-15

On the L_p Intersection Body

Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

摘要

摘要: 通过利用Brunn-Minkowski-Firey混合体积及对偶混合体积理论，研究了Lp-截面体和对偶混合体积的相互关系,建立了关于正规化Lp-径向加及Lp-径向线性组合的Lp-截面体的Brunn-Minkowski形不等式及其隔离形式,且获得了算子Ip的一些性质．
- 星体 /
- Lp-截面体 /
- 性质 /
- Brunn-Minkowski不等式
Abstract: By using Brunn-Minkowski-Firey mixed volume theory and dual mixed volume theory, associated with L_p intersection body and dual mixed volume, some dual Brunn-Minkowski inequalities and their isolate forms are established for L_p intersection body about the normalized L_p radial addition and L_p radial linear combination. Some properties of operator I_p are given.
- star body /
- L_p intersection body /
- property /
- Brunn-Minkowski inequality

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参考文献(14)

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