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Sharp Anisotropic Hardy–Littlewood Inequality for Positive Multilinear Forms

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Abstract

Using elementary techniques, we obtain the optimal anisotropic Hardy–Littlewood inequalities for positive multilinear forms. In particular, we recover an inequality proved by Bayart (J Funct Anal 274(4):1129–1154, 2018).

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Funding

D. Pellegrino is partially supported by CNPq and Grant 2019/0014 Paraíba State Research Foundation (FAPESQ).

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, 111321, Colombia

    D. Núñez-Alarcón & D. M. Serrano-Rodríguez

  2. Departamento de Matemática, Universidade Federal da Paraíba, João Pessoa, 58.051-900, Brazil

    D. Pellegrino

Authors
  1. D. Núñez-Alarcón
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  2. D. Pellegrino
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  3. D. M. Serrano-Rodríguez
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Corresponding author

Correspondence to D. M. Serrano-Rodríguez.

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This paper is dedicated to Jacobo

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Núñez-Alarcón, D., Pellegrino, D. & Serrano-Rodríguez, D.M. Sharp Anisotropic Hardy–Littlewood Inequality for Positive Multilinear Forms. Results Math 74, 193 (2019). https://doi.org/10.1007/s00025-019-1120-x

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  • DOI: https://doi.org/10.1007/s00025-019-1120-x

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