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Geometric Brascamp-Lieb has the optimal best constant

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Publication:645293
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DOI10.1007/s12220-010-9177-5zbMath1231.26024OpenAlexW2004440995WikidataQ125628827 ScholiaQ125628827MaRDI QIDQ645293

Stefán Ingi Valdimarsson

Publication date: 14 November 2011

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-010-9177-5

zbMATH Keywords

minimaxbest constantBrascamp-Lieb inequality


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)


Related Items

Continuous version of the approximate geometric Brascamp-Lieb inequalities, On the nonlinear Brascamp-Lieb inequality, Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via operator scaling, Contractivity of gamma Wick products



Cites Work

  • Gaussian kernels have only Gaussian maximizers
  • Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities
  • On a reverse form of the Brascamp-Lieb inequality
  • Best constants in Young's inequality, its converse, and its generalization to more than three functions
  • A sharp analog of Young's inequality on \(S^N\) and related entropy inequalities
  • The Brascamp-Lieb inequalities: Finiteness, structure and extremals
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