Positive Gaussian kernels also have Gaussian minimizers
Author(s)
Bibliographic Information
Positive Gaussian kernels also have Gaussian minimizers
（Memoirs of the American Mathematical Society, no. 1359）
American Mathematical Society, c2022
- : pbk
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Note
"March 2022, volume 276, number 1359 (seventh of 7 numbers)"
Includes bibliographical references (p. 89-90)
Description and Table of Contents
Description
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.
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