Optimal Hardy–Littlewood type inequalities for polynomials and multilinear operators

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Albuquerque, N. and Bayart, F. and Pellegrino, Daniel and 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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Official URL: http://link.springer.com/article/10.1007%2Fs11856-015-1264-7#page-1




Abstract

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.


Item Type:Article
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:35250
Deposited On:01 Feb 2016 08:16
Last Modified:28 Nov 2016 08:23

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