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.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…