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

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Abstract

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

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Authors and Affiliations

  1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China

    Junjie Shan, Wenxue Xu & Leiqin Yin

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  1. Junjie Shan
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  2. Wenxue Xu
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Correspondence to Wenxue Xu.

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Research of the authors was supported in part by the Natural Science Foundation of Chongqing No. cstc2021jcyj-msxmX1057 and NSFC No. 12071378.

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Shan, J., Xu, W. & Yin, L. \(L_p\) Blaschke–Santaló and Petty projection inequalities in Gaussian space. Arch. Math. 122, 331–342 (2024). https://doi.org/10.1007/s00013-023-01959-7

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