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Albuquerque, N. ; Bayart, F. ; Pellegrino, Daniel ; Seoane-Sepúlveda, Juan B. | Springer Verlag | 2015In 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 [...]texto impreso
Albuquerque, N. ; Bayart, F. ; Pellegrino, Daniel ; Seoane-Sepúlveda, Juan B. | Elsevier | 2014-03-15We prove that the multilinear Bohnenblust Hille inequality is a particular case of a quite general family of optimal inequalities.texto impreso
We show that the Bohr radius of the polydisk $\mathbb D^n$ behaves asymptotically as $\sqrt{(\log n)/n}$. Our argument is based on a new interpolative approach to the Bohnenblust--Hille inequalities which allows us to prove that the polynomial B[...]
