Optimal exponents for Hardy-Littlewood inequalities for \(m\)-linear operators

DOI10.1016/j.laa.2017.06.008zbMath1492.47005arXiv1602.00178OpenAlexW2397379959MaRDI QIDQ2402462

Daniel Núñez-Alarcón, Richard Martin Aron, Daniel M. Pellegrino, Diana Marcela Serrano-Rodríguez

Publication date: 7 September 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00178

zbMATH Keywords

multilinear formsmultilinear operatorsHardy-Littlewood inequalityabsolutely summing operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (10)

The Hardy-Littlewood Inequalities in Sequence Spaces ⋮ Anisotropic regularity principle in sequence spaces and applications ⋮ Optimal Hardy–Littlewood inequalities uniformly bounded by a universal constant ⋮ Some applications of the Hölder inequality for mixed sums ⋮ Summing multilinear operators by blocks: the isotropic and anisotropic cases ⋮ Coefficients of multilinear forms on sequence spaces ⋮ Polynomial and multilinear Hardy-Littlewood inequalities: analytical and numerical approaches ⋮ The Orlicz inequality for multilinear forms ⋮ Universal bounds for the Hardy-Littlewood inequalities on multilinear forms ⋮ Sharp anisotropic Hardy-Littlewood inequality for positive multilinear forms

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