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    • On the $L_p$ Affine Isoperimetric Inequalities

      Wuyang Yu Gangsong Leng

      Volume 121 Issue 4 November 2011 pp 447-455

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/121/04/0447-0455

    • Keywords

       

      Isotropic measure; $L_p$-Petty projection inequality; 𝑝-isoperimetric inequality.

    • Abstract

       

      We obtain an isoperimetric inequality which estimate the affine invariant 𝑝-surface area measure on convex bodies. We also establish the reverse version of $L_p$-Petty projection inequality and an affine isoperimetric inequality of $\Gamma_{-p}K$.

    • Author Affiliations

       

      Wuyang Yu1 Gangsong Leng2

      1. Institute of Management Decision & Innovation, Hangzhou Dianzi University, Zhejiang 310018, China
      2. Department of Mathematics, Shanghai University, Shanghai 200444, China

    • Dates

       
      Published
      November 2011
      Manuscript received
      9 March 2011
      Manuscript revised
      11 May 2011

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