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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…