Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators

By N. Albuquerque, Fr'ed'eric Bayart, Daniel Pellegrino, J. B. Seoane-Sep'ulveda. 2013

101 citations recorded by the source corpus.

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 vector-valued Bohnenblust-Hilletype inequalities.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9abb61cd8606799ecc5994cd30165df8bb6a384d