Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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VOLUME INEQUALITIES FOR THE Lp-SINE TRANSFORM OF ISOTROPIC MEASURES

  • Guo, LuJun (College of Mathematics and Information Science Henan Normal University) ;
  • Leng, Gangsong (Department of Mathematics Shanghai University)
  • Received : 2014.03.18
  • Published : 2015.05.31
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Abstract

For $p{\geq}1$, sharp isoperimetric inequalities for the $L_p$-sine transform of isotropic measures are established. The corresponding reverse inequalities are obtained in an asymptotically optimal form. As applications of our main results, we present volume inequalities for convex bodies which are in $L_p$ surface isotropic position.

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References

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