19 citations · 70 across the 31 of their papers we have counts for
6 papers · 1 filter
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…
Remarks on the Hardy--Littlewood inequality for -homogeneous polynomials and -linear forms
W. Cavalcante, D. Nunez-Alarcon, D. Pellegrino
The Hardy--Littlewood inequality for -homogeneous polynomials on spaces is valid for In this note, among other results, we present an optimal version of this i…
The optimal Hardy--Littlewood constants for -homogeneous polynomials on for are
W. Cavalcante, D. Nunez-Alarcon, D. Pellegrino
We show that the optimal constants for the Hardy--Littlewood inequalities for -homogeneous polynomials on are precisely for all
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.
Duality results in Banach and quasi-Banach spaces of homogeneous polynomials and applications
V. V. Favaro, D. Pellegrino
Spaces of homogeneous polynomials on a Banach space are frequently equipped with quasinorms instead of norms. In this paper we develop a technique to replace the original quasi-nor…
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.…