19 citations · 31 across the 10 of their papers we have counts for
11 papers
Effective Dimensions in Grothendieck--Hölder Inequalities
Joedson Santos, Diana Serrano-Rodríguez
What becomes of Grothendieck's inequality when its Hilbert-space vectors are replaced by vectors in and ? For an matrix, we show that the univer…
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 …
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…
Optimal exponents for Hardy--Littlewood inequalities for -linear operators
R. M. Aron, D. Núñez-Alarcón, D. Pellegrino +1
The Hardy--Littlewood inequalities on spaces provide optimal exponents for some classes of inequalities for bilinear forms on spaces. In this paper we inves…
On the mixed -Littlewood inequality for real scalars and applications
Daniel Pellegrino, Diana M. Serrano-Rodriguez
In this paper we obtain the sharp estimates for the mixed -Littlewood inequality for real scalars with exponents T…
On the polynomial Hardy--Littlewood inequality
G. Araujo, P. Jimenez-Rodriguez, G. Munoz-Fernandez +4
We investigate the growth of the constants of the polynomial Hardy-Littlewood inequality.
A subexponential vector-valued Bohnenblust-Hille type inequality
N. Albuquerque, D. Núñez-Alarcón, D. M. Serrano-Rodríguez
Bayart, Pellegrino and Seoane recently proved that the polynomial Bohnenblust--Hille inequality for complex scalars is subexponential. We show that a vector valued polynomial Bohne…
Absolutely summing multilinear operators via interpolation
N. Albuquerque, D. Núñez-Alarcón, J. Santos +1
We use an interpolative technique from \cite{abps} to introduce the notion of multiple -separately summing operators. Our approach extends and unifies some recent results; for i…
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…
There exist multilinear Bohnenblust-Hille constants with
Daniel Nunez-Alarcon, Daniel Pellegrino, Juan Seoane-Sepulveda +1
The -linear Bohnenblust-Hille inequality asserts that there is a constant such that the -norm of $(U(e_{i_{^{1}}},...,e_{i_{n}}…
A closed formula for subexponential constants in the multilinear Bohnenblust--Hille inequality
Diana Marcela Serrano-Rodriguez
For the scalar field or , the multilinear Bohnenblust--Hille inequality asserts that there exists a sequence of positive scalars $(C_{\mathbb{K}…