Positivité améliorée et noyaux gaussiens

DOI10.1016/j.crma.2014.09.016zbMath1316.46027OpenAlexW1986233195MaRDI QIDQ479941

Paweł Wolff, Franck Barthe

Publication date: 5 December 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.09.016

zbMATH Keywords

multilinear operatorsGaussian kernelsLieb's theorem

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators on function spaces (general) (47B38) Optimality conditions (49K99)

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Positive Gaussian Kernels also Have Gaussian Minimizers ⋮ Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality ⋮ New \(L^p\)-inequalities for hyperbolic weights concerning the operators with complex Gaussian kernels ⋮ Euclidean forward-reverse Brascamp-Lieb inequalities: finiteness, structure, and extremals ⋮ On operators with complex Gaussian kernels over Lp spaces

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