The Petty Projection Inequality for L_p-Mixed Projection Bodies

作     者：Wei Dong WANG Gang Song LENG 

作者机构：Department of Mathematics Hubei Institute for Nationalities Enshi 445000 P. R. China and Department of Mathematics Shanghai University Shanghai 200436 P. R. China E-mail: lenggangsong@*** 

基　　金：Research supported in part by the Natural Science Foundation of China(Grant No.10671117) Academic Mainstay Foundation of Hubei Province of China(Grant No.2003A005) 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2007年第23卷第8期

页      码：1485-1494页

摘      要：Recently, Lutwak, Yang and Zhang posed the notion of Lp-projection body and established the Lp-analog of the Petty projection inequality. In this paper, the notion of Lp-mixed projection body is introduced--the Lp-projection body being a special case. The Petty projection inequality, as well as Lutwak＇s quermassintegrals （Lp-mixed quermassintegrals） extension of the Petty projection inequality, is established for Lp-mixed projection body.

主 题 词：petty projection inequality Lp-projection body Lp-mixed projection body Lp-centroid body Lp-mixed quermassintegrals 

学科分类：07[理学] 070104[070104] 0701[理学-数学类] 

核心收录：

D　O　I：10.1007/s10114-005-0894-9

馆 藏 号：203151635...