10 citations · 17 across the 4 of their papers we have counts for
4 papers · 1 filter
Optimal Hardy--Littlewood inequalities uniformly bounded by a universal constant
N. Albuquerque, G. Araújo, M. Maia +3
The Hardy--Littlewood inequality for -linear forms on spaces and asserts that \begin{equation*} \left( \sum_{j_{1},...,j_{m}=1}^{\infty }\left\vert T\le…
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.
Hölder's inequality: some recent and unexpected applications
N. Albuquerque, G. Araujo, D. Pellegrino +1
Hölder's inequality, since its appearance in 1888, has played a fundamental role in Mathematical Analysis and it is, without any doubt, one of the milestones in Mathematics. It may…
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…