3 citations · 4 across the 4 of their papers we have counts for
5 papers
Unified Grothendieck's and Kwapień's theorems for multilinear operators
Daniel Núñez-Alarcón, Joedson Santos, Diana Serrano-Rodríguez
Kwapień's theorem asserts that every continuous linear operator from to is absolutely -summing for …
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…
Sharp anisotropic Hardy--Littlewood inequality for positive multilinear forms
Daniel Núñez Alarcón, Daniel Marinho Pellegrino, Diana Marcela Serrano Rodríguez
Using elementary techniques, we prove sharp anisotropic Hardy-Littlewood inequalities for positive multilinear forms. In particular, we recover an inequality proved by F. Bayart in…
New lower bounds for the constants in the real polynomial Hardy--Littlewood inequality
W. Cavalcante, D. Nunez-Alarcon, D. Pellegrino
In this short note we obtain new lower bounds for the constants of the real Hardy--Littlewood inequality for -linear forms on spaces when and for certain v…
On the optimal multilinear Bohnenblust--Hille constants
D. Nunez-Alarcon, D. Pellegrino, J. B. Seoane-Sepulveda +1
The upper estimates for the optimal constants of the multilinear Bohnenblust--Hille inequality obtained in [J. Funct. Anal. 264 (2013), 429--463] are here improved to: {0.1cm} {enu…