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Optimal Hardy–Littlewood type inequalities for polynomials and multilinear operators

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Albuquerque, N. y Bayart, F. y Pellegrino, Daniel y Seoane-Sepúlveda, Juan B. (2015) Optimal Hardy–Littlewood type inequalities for polynomials and multilinear operators. Israel Journal of mathematics . pp. 1-24. ISSN 0021-2172

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URL Oficial: http://link.springer.com/article/10.1007%2Fs11856-015-1264-7#page-1


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In this paper we obtain quite general and definitive forms for Hardy–Littlewood type inequalities. Moreover, when restricted to the original particular cases, our approach provides much simpler and straightforward proofs and we are able to show that in most cases the exponents involved are optimal. The technique we used is a combination of probabilistic tools and of an interpolative approach; this former technique is also employed in this paper to improve the constants for vectorvalued Bohnenblust–Hille type inequalities.


Tipo de documento:Artículo
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:35250
Depositado:01 Feb 2016 08:16
Última Modificación:28 Nov 2016 08:23

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