Positive Gaussian Kernels also Have Gaussian Minimizers

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 th...

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Bibliographic Details
Main Authors:	Barthe, Franck, Wolff, Paweł
Format:	eBook Book
Language:	English
Published:	Providence, Rhode Island American Mathematical Society 2022
Edition:	1
Series:	Memoirs of the American Mathematical Society
Subjects:	Gaussian processes Inequalities (Mathematics) Integral operators Kernel functions Operator theory > Integral, integro-differential, and pseudodifferential operators > Integral operators. msc Real functions > Inequalities > Inequalities for sums, series and integrals. msc optimal transport Brascamp-Lieb inequality Gaussian kernel reversed Gaussian hypercontractivity positivity improving property
ISBN:	9781470451431, 1470451433
ISSN:	0065-9266, 1947-6221
Online Access:	Get full text
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