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\(L_p\) Blaschke–Santaló and Petty projection inequalities in Gaussian space

  • Junjie Shan,
  • Wenxue Xu,
  • Leiqin Yin

摘要

The analogues of the \(L_p\) L p mixed volumes inequality, the \(L_p\) L p Brunn–Minkowski inequality, the \(L_p\) L p Blaschke–Santaló inequality, and the \(L_p\) L p Petty projection inequality in Gaussian space are established.