Nuno J. Alves

activity

20242026

L_{p}

-convergence and some classical modes of convergence

2 citations · 4 across the 9 of their papers we have counts for

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math.AP2024

A bilinear fractional integral operator for Euler-Riesz systems

Nuno J. Alves, Loukas Grafakos, Athanasios E. Tzavaras

We establish a uniform estimate for a bilinear fractional integral operator via restricted weak-type endpoint estimates and Marcinkiewicz interpolation. This estimate is crucial in…

math.FA2024★ 1 cited

On $F$ -spaces of almost-Lebesgue functions

Nuno J. Alves

We consider the space of functions almost in $L_{p}$ and endow it with the topology of asymptotic $L_{p}$ -convergence. This yields a completely metrizable topological vector space whic…

math.AP2024★ 1 cited

Strong convergence of sequences with vanishing relative entropy

Nuno J. Alves, Jakub Skrzeczkowski, Athanasios E. Tzavaras

We show that under natural growth conditions on the entropy function, convergence in relative entropy is equivalent to $L_{p}$ -convergence. The main tool is the theory of Young measu…

math.CA2024★ 2 cited

Relation between asymptotic $L_{p}$ -convergence and some classical modes of convergence

Nuno J. Alves, Giorgi G. Oniani

Asymptotic $L_{p}$ -convergence, which resembles convergence in $L_{p}$ , was introduced to address a question in diffusive relaxation. This note aims to compare asymptotic $L_{p}$ -converg…

A bilinear fractional integral operator for Euler-Riesz systems

On F-spaces of almost-Lebesgue functions

Strong convergence of sequences with vanishing relative entropy

Relation between asymptotic Lp​-convergence and some classical modes of convergence

On $F$ -spaces of almost-Lebesgue functions

Relation between asymptotic $L_{p}$ -convergence and some classical modes of convergence