3 papers
math.FA2026
A Bochner-type integration theory for random normed modules
Andrea Kubin, Enrico Pasqualetto
We develop a measure and integration theory for random normed modules. Given a probability space , we introduce and study measures taking values into the…
math.FA2025
Maps of bounded variation from PI spaces to metric spaces
Camillo Brena, Francesco Nobili, Enrico Pasqualetto
We study maps of bounded variation defined on a metric measure space and valued into a metric space. Assuming the source space to satisfy a doubling and Poincaré property, we prod…
math.FA2024
Vector calculus on weighted reflexive Banach spaces
Enrico Pasqualetto, Tapio Rajala
We study first-order Sobolev spaces on reflexive Banach spaces via relaxation, test plans, and divergence. We show the equivalence of the different approaches to the Sobolev spaces…