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Brascamp-Lieb inequality for positive double John basis and its reverse

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Abstract

In this paper, we establish the Brascamp-Lieb inequality for positive double John basis and its reverse. As their applications, we estimate the upper and lower bounds for the volume product of two unit balls with the given norms. Moreover, the Loomis-Whitney inequality for positive double John basis is obtained.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Ai-Jun Li & GangSong Leng

  2. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, China

    Ai-Jun Li

Authors
  1. Ai-Jun Li
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  2. GangSong Leng
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Correspondence to Ai-Jun Li.

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Li, AJ., Leng, G. Brascamp-Lieb inequality for positive double John basis and its reverse. Sci. China Math. 54, 399–410 (2011). https://doi.org/10.1007/s11425-010-4093-5

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  • DOI: https://doi.org/10.1007/s11425-010-4093-5

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