Enrico Pasqualetto

activity

20232026

collaborators

15 papers

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.MG2026

Convergence of metric measure spaces via embeddings in the Urysohn universal space

Milica Caković, Enrico Pasqualetto, Timo Schultz

We study different notions of convergence of metric measure spaces by means of isometric embeddings into the Urysohn universal metric space $U$ . Due to the universality of…

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.CT2026

A categorical perspective on extended metric-topological spaces

Enrico Pasqualetto, Timo Schultz, Janne Taipalus

Motivated by the analysis and geometry of metric-measure structures in infinite dimensions, we study the category of extended metric-topological spaces, along with many of its dist…

math.MG2025

A topological characterization of indecomposable sets of finite perimeter

Paolo Bonicatto, Panu Lahti, Enrico Pasqualetto

We prove that a set of finite perimeter is indecomposable if and only if it is, up to a choice of suitable representative, connected in the 1-fine topology. This gives a topologica…

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.MG2025

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian

Jesús Núñez-Zimbrón, Enrico Pasqualetto, Elefterios Soultanis

We show that a metric space $X$ that, at every point, has a Gromov-Hausdorff tangent with the splitting property (i.e. every geodesic line splits off a factor $R$ ), is uni…

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.AP2025

A variational approach to the volume-preserving anisotropic mean curvature flow in 2D

Andrea Kubin, Domenico Angelo La Manna, Enrico Pasqualetto

In this article, we introduce a variational algorithm, in the spirit of the minimizing movements scheme, to model the volume-preserving anisotropic mean curvature flow in 2D. We sh…

math.MG2025

A note on Laplacian bounds, deformation properties and isoperimetric sets in metric measure spaces

Enrico Pasqualetto, Tapio Rajala

In the setting of length PI spaces satisfying a suitable deformation property, it is known that each isoperimetric set has an open representative. In this paper, we construct an ex…

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…