Critical Hardy-Littlewood inequality for multilinear forms

DOI10.1007/s12215-019-00409-0zbMath1501.47008arXiv1710.07835OpenAlexW2962794869MaRDI QIDQ777178

Djair Paulino

Publication date: 3 July 2020

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07835

zbMATH Keywords

multilinear formsHardy-Littlewood inequalityoperator multiple summing

Mathematics Subject Classification ID

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

Related Items (3)

The Hardy-Littlewood Inequalities in Sequence Spaces ⋮ Coefficients of multilinear forms on sequence spaces ⋮ The Orlicz inequality for multilinear forms

Cites Work

• Unnamed Item
• Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets
• Summation of coefficients of polynomials on \(\ell_{p}\) spaces
• On bounded multilinear forms on a class of \(l^ p \)spaces
• A regularity principle in sequence spaces and applications
• Some applications of the regularity principle in sequence spaces
• On summability of multilinear operators and applications
• Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
• A new estimate for the constants of an inequality due to Hardy and Littlewood
• Sharp generalizations of the multilinear Bohnenblust-Hille inequality
• On the multilinear generalizations of the concept of absolutely summing operators
• Some applications of hypercontractive inequalities in quantum information theory
• Anisotropic regularity principle in sequence spaces and applications
• Towards sharp Bohnenblust–Hille constants
• BILINEAR FORMS BOUNDED IN SPACE [p, q]

This page was built for publication: Critical Hardy-Littlewood inequality for multilinear forms