10 citations · 12 across the 4 of their papers we have counts for
5 papers · 1 filter
When are the Hardy-Littlewood inequalities contractive?
W. V. Cavalcante, T. Nogueira, D. M. Pellegrino +2
The optimal constants of the -linear Bohnenblust-Hille and Hardy-Littlewood inequalities are still not known despite its importance in several fields of Mathematics. For the Boh…
Some applications of the Hölder inequality for mixed sums
Nacib Albuquerque, Tony Nogueira, Daniel Nunez-Alarcon +2
We use the Hölder inequality for mixed exponents to prove some optimal variants of the generalized Hardy--Littlewood inequality for -linear forms on spaces with mixe…
A note on multiple summing operators and applications
N. Albuquerque, G Araujo, D. Pellegrino +1
We prove a new result on multiple summing operators and among other applications, we provide a new extension of Littlewood's inequality to -linear forms.
Improving integrability via absolute summability: a general version of Diestel's Theorem
Daniel Pellegrino, Pilar Rueda, Enrique Sánchez-Pérez
A classical result by J. Diestel establishes that the composition of a summing operator with a (strongly measurable) Pettis integrable function gives a Bochner integrable function.…
On summability of multilinear operators and applications
N. Albuquerque, G. Araujo, W. V. Cavalcante +4
This paper has two clear motivations: a technical and a practical. The technical motivation unifies in a single and crystal clear formulation a huge family of inequalities that hav…