RT Journal Article T1 Optimal Hardy–Littlewood type inequalities for polynomials and multilinear operators A1 Albuquerque, N. A1 Bayart, F. A1 Pellegrino, Daniel A1 Seoane Sepúlveda, Juan Benigno AB 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. PB Springer Verlag SN 0021-2172 YR 2015 FD 2015 LK https://hdl.handle.net/20.500.14352/35032 UL https://hdl.handle.net/20.500.14352/35032 LA eng NO CNPq Grant DS Docta Complutense RD 17 abr 2025