A summability principle and applications Article Swipe

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N. Albuquerque , Gustavo Araújo , Lisiane Rezende , Joedson Santos ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.48550/arxiv.1904.04549

This paper investigates summability principles for multilinear summing operators. The main result presents a novel inclusion theorem for a class of summing operators, which generalizes several classical results. As applications, we derive improved estimates for Hardy--Littlewood inequalities on multilinear forms and prove a Grothendieck--type coincidence result in anisotropic settings.

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/1904.04549
PDF: https://arxiv.org/pdf/1904.04549
OA Status: green
Cited By: 3
References: 15
Related Works: 10
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DOI: https://doi.org/10.48550/arxiv.1904.04549

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Title: A summability principle and applications

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Type: preprint

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Language: en

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Publication year: 2019

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Publication date: 2019-04-09

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Authors: N. Albuquerque, Gustavo Araújo, Lisiane Rezende, Joedson Santos

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Landing page: https://arxiv.org/abs/1904.04549

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PDF URL: https://arxiv.org/pdf/1904.04549

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Open access: Yes

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OA status: green

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OA URL: https://arxiv.org/pdf/1904.04549

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Concepts: Mathematics, Mathematical economics

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Cited by: 3

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Citations by year (recent): 2024: 1, 2021: 1, 2020: 1

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References (count): 15

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Related works (count): 10

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