Positive Gaussian Kernels Also Have Gaussian Minimizers
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A01=Franck Barthe
A01=Pawel Wolff
Author_Franck Barthe
Author_Pawel Wolff
Category=PBT
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Product details
- ISBN 9781470451431
- Weight: 194g
- Dimensions: 178 x 254mm
- Publication Date: 30 Jun 2022
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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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 wegive 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 severalinverse inequalities.
Franck Barthe, Universite de Toulouse, France.
Pawel Wolff, Universite de Toulouse, France.
Pawel Wolff, Universite de Toulouse, France.
