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9781470451431 Academic Inspection Copy

Positive Gaussian Kernels Also Have Gaussian Minimizers

  • ISBN-13: 9781470451431
  • Publisher: AMERICAN MATHEMATICAL SOCIETY
    Imprint: AMERICAN MATHEMATICAL SOCIETY
  • By Franck Barthe, By Pawel Wolff
  • Price: AUD $219.00
  • Stock: 0 in stock
  • Availability: This book is temporarily out of stock, order will be despatched as soon as fresh stock is received.
  • Local release date: 28/09/2022
  • Format: Paperback (254.00mm X 178.00mm) 90 pages Weight: 194g
  • Categories: Probability & statistics [PBT]
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We study lower bounds on multilinear operators with Gaussian kernels acting on Lebesgue spaces, with exponents below one. We put forward natural conditions when the optimal constant can be computed by inspecting centered Gaussian functions only, and we give necessary and sufficient conditions for this constant to be positive. Our work provides a counterpart to Lieb's results on maximizers of multilinear operators with real Gaussian kernels, also known as the multidimensional Brascamp-Lieb inequality. It unifies and extends several inverse inequalities.
Franck Barthe, Universite de Toulouse, France. Pawel Wolff, Universite de Toulouse, France.
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