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Affine Pólya-Szegö inequality on Steiner rearrangement in any codimension |
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| Authors: | Lin Youjiang |
| Institution: | 1.School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China ; |
| Abstract: | The affine Polya-Szego inequality on the Steiner rearrangement in any codimension is proved. We not only define k-Orlicz-Sobolev ball on Sobolev functions and prove corresponding affine Polya-Szego inequality, but also define k-Orlicz-Sobolev ball on functions of bounded variation and prove the corresponding affine Polya-Szego inequality. |
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