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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Bibliographische Detailangaben
Hauptverfasser:	Barthe, Franck, Wolff, Paweł
Format:	E-Book Buch
Sprache:	Englisch
Veröffentlicht:	Providence, Rhode Island American Mathematical Society 2022
Ausgabe:	1
Schriftenreihe:	Memoirs of the American Mathematical Society
Schlagworte:	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-Zugang:	Volltext
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