3 papers
math.FA2020
Super-critical Hardy--Littlewood inequalities for multilinear forms
D. Nunez-Alarcon, D. Paulino, D. Pellegrino
The multilinear Hardy--Littlewood inequalities provide estimates for the sum of the coefficients of multilinear forms $T:\ell_{p_{1}}^{n}\times\cdots \times\ell_{p_{m}}^{n}\rightar…
math.FA2018
Remarks on the Bohnenblust--Hille inequalities
Djair Paulino, Daniel Pellegrino, Joedson Santos
We revisit the Bohnenblust--Hille multilinear and polynomial inequalities and prove some new properties. Our main result is a multilinear version of a recent result on polynomials…
math.FA2017
Critical Hardy--Littlewood inequality for multilinear forms
Djair Paulino
The Hardy--Littlewood inequalities for -linear forms on spaces are known just for . The critical case was overlooked for obvious technical reasons and, up…