Sharp anisotropic Hardy--Littlewood inequality for positive multilinear forms

Daniel Marinho Pellegrino; Daniel N\'u\~nez Alarc\'on; Diana Marcela Serrano Rodr\'iguez

arxiv: 1903.12244 · v1 · pith:ZHJAYKGYnew · submitted 2019-03-28 · 🧮 math.FA

Sharp anisotropic Hardy--Littlewood inequality for positive multilinear forms

Daniel N\'u\~nez Alarc\'on , Daniel Marinho Pellegrino , Diana Marcela Serrano Rodr\'iguez This is my paper

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keywords anisotropicformsinequalitymultilinearpositivesharpbayartelementary

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Using elementary techniques, we prove sharp anisotropic Hardy-Littlewood inequalities for positive multilinear forms. In particular, we recover an inequality proved by F. Bayart in 2018.

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Sharp anisotropic Hardy--Littlewood inequality for positive multilinear forms

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