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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. ; Bernal-González, L. ; Pellegrino, D. ; Seoane-Sepúlveda, Juan B. | Elsevier Science | 2014-11-01The starting point of this paper is the existence of Peano curves, that is, continuous surjections mapping the unit interval onto the unit square. From this fact one can easily construct of a continuous surjection from the real line R to any Euc[...]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.
