Enrico Pasqualetto

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20232026

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9 papers · 1 filter

math.FA2026

Decomposition of functions of bounded variation in Ahlfors-regular PI spaces

Paolo Bonicatto, Panu Lahti, Enrico Pasqualetto

We prove that, on a non-compact Ahlfors-regular PI space, every function of bounded variation $f$ can be decomposed as a countable sum $\sum_{n = 1}^{\infty} f_{n}$ of monotone functions…

math.FA2026

On the equivalence of BV notions in metric measure spaces

Luigi Ambrosio, Enrico Pasqualetto, Nageswari Shanmugalingam

The aim of the paper is to compare in detail several notions of $B V$ space of functions of bounded variation in metric measure spaces $(X, d, m)$ . Informall…

math.FA2025

Preduals of metric BV spaces

Enrico Pasqualetto

We study the predual of the space of functions of bounded variation defined over a metric measure space $(X, d, m)$ with $m$ finite. More specifically…

math.FA2025

Metric Sobolev spaces II: dual energies and divergence measures

Luigi Ambrosio, Toni Ikonen, Danka Lučić +1

This is the second of two works concerning the Sobolev calculus on metric measure spaces and its applications. In this work, we focus on several approaches to vector calculus in th…

math.FA2025

Tensor products of measurable Banach bundles

Milica Caković, Danka Lučić, Enrico Pasqualetto

We study injective and projective tensor products of measurable Banach bundles. More precisely, given two separable measurable Banach bundles $E$ , $F$ defined over a pr…

math.FA2025

Derivations and Sobolev functions on extended metric-measure spaces

Enrico Pasqualetto, Janne Taipalus

We investigate the first-order differential calculus over extended metric-topological measure spaces. The latter are quartets $X = (X, τ, d, m)$ , given by an ext…

math.FA2025

Functions of bounded variation and Lipschitz algebras in metric measure spaces

Enrico Pasqualetto, Giacomo Enrico Sodini

Given a unital algebra $A$ of locally Lipschitz functions defined over a metric measure space $(X, d, m)$ , we study two associated notions of f…

math.FA2024

Metric Sobolev spaces I: equivalence of definitions

Luigi Ambrosio, Toni Ikonen, Danka Lučić +1

This is the first of two works concerning the Sobolev calculus on metric measure spaces and its applications. In this work, we focus on several notions of metric Sobolev space and…

math.FA2023

Yet another proof of the density in energy of Lipschitz functions

Danka Lučić, Enrico Pasqualetto

We provide a new, short proof of the density in energy of Lipschitz functions into the metric Sobolev space defined by using plans with barycenter (and thus, a fortiori, into the N…