2 citations · 4 across the 9 of their papers we have counts for
9 papers
Lorentz estimates for multilinear convolution operators
Nuno J. Alves, Ana Čolović, Loukas Grafakos
We study O'Neil-type inequalities in Lorentz spaces for two extremal geometric configurations of translation-invariant multilinear convolution operators. For the one-parameter mode…
An integral characterization of almost equicontinuity
Nuno J. Alves, Hikmatullo Ismatov
We characterize the pointwise notion of almost equicontinuity for families of real-valued measurable functions on subsets of of finite measure. The characterization i…
A truncation criterion for compactness in asymptotic spaces
Nuno J. Alves
We prove a compactness criterion for asymptotic spaces over arbitrary measure spaces. Total boundedness is characterized by almost equiboundedness together with total bounded…
Isometries and geometric liftings for Alexiewicz-normed spaces
Nuno J. Alves
We study spaces of essentially bounded functions on compact subsets of the real line, equipped with the Alexiewicz norm given by the supremum norm of the primitive. Using the assoc…
Uniform boundedness of parametric bilinear fractional integrals
Nuno J. Alves, Loukas Grafakos
We provide weak-type bounds for a family of bilinear fractional integrals that arise in the study of Euler-Riesz systems. These bounds are uniform in the natural parameter that des…
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…
On -spaces of almost-Lebesgue functions
Nuno J. Alves
We consider the space of functions almost in and endow it with the topology of asymptotic -convergence. This yields a completely metrizable topological vector space whic…
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 -convergence. The main tool is the theory of Young measu…
Relation between asymptotic -convergence and some classical modes of convergence
Nuno J. Alves, Giorgi G. Oniani
Asymptotic -convergence, which resembles convergence in , was introduced to address a question in diffusive relaxation. This note aims to compare asymptotic -converg…