Positive Gaussian Kernels Also Have Gaussian Minimizers
Author:   Franck Barthe ,  Pawel Wolff
Publisher:   American Mathematical Society
ISBN:  

9781470451431


Pages:   90
Publication Date:   30 June 2022
Format:   Paperback
Availability:   Out of stock   Availability explained
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Positive Gaussian Kernels Also Have Gaussian Minimizers


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Overview

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.

Full Product Details

Author:   Franck Barthe ,  Pawel Wolff
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.194kg
ISBN:  

9781470451431


ISBN 10:   1470451433
Pages:   90
Publication Date:   30 June 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Franck Barthe, Universite de Toulouse, France. Pawel Wolff, Universite de Toulouse, France.

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