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-Sz...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.展开更多
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)。
文摘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.
