Sharp anisotropic Hardy-Littlewood inequality for positive multilinear forms

DOI10.1007/s00025-019-1120-xzbMath1477.47016arXiv1903.12244OpenAlexW2985146772MaRDI QIDQ2009334

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

Publication date: 28 November 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.12244

zbMATH Keywords

sequence spacesmultilinear formsHardy-Littlewood inequalities

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (3)

The Hardy-Littlewood Inequalities in Sequence Spaces ⋮ Summing multilinear operators by blocks: the isotropic and anisotropic cases ⋮ The Orlicz inequality for multilinear forms

Cites Work

• Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets
• Factorization of positive multilinear maps
• On bounded multilinear forms on a class of \(l^ p \)spaces
• Universal bounds for the Hardy-Littlewood inequalities on multilinear forms
• Optimal exponents for Hardy-Littlewood inequalities for \(m\)-linear operators
• On the Bohnenblust-Hille inequality for multilinear forms

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