Affine Pólya-Szegö inequality on the Steiner rearrangement in any codimension  

作　　者：Youjiang Lin 

机构地区：[1]School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China

出　　处：《Science China Mathematics》2022年第3期517-538,共22页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11971080);the Basic and Advanced Research Project of Chongqing,Chongqing Science and Technology Commission(Grant Nos.cstc2015jcyj A00009 and cstc2018jcyj AX0790);Scientific and Technological Research Program of Chongqing Municipal Education Commission(Grant No.KJ1500628)。

摘　　要：The affine Pólya-Szegö inequality on the Steiner rearrangement in any codimension is proved.We not only define the k-Orlicz-Sobolev balls on Sobolev functions and prove the corresponding affine Pólya-Szegö inequality,but also define the k-Orlicz-Sobolev balls on functions of bounded variation and prove the corresponding affine Pólya-Szegö inequality.

关 键 词：Pólya-Szegöinequality Steiner symmetrization Schwarz spherical symmetrization affine isoperimetric inequality 

分 类 号：O178[理学—数学]