51 citations · 248 across the 29 of their papers we have counts for
6 papers · 1 filter
A maximal function characterization of absolutely continuous measures and Sobolev functions
Elia Bruè, Quoc-Hung Nguyen, Giorgio Stefani
In this note, we give a new characterisation of Sobolev functions among functions via Hardy-Littlewood maximal function. Exploiting some ideas coming from the proof…
On the Sobolev space of functions with derivative of logarithmic order
Elia Bruè, Quoc-Hung Nguyen
Two notions of "having a derivative of logarithmic order" have been studied. They come from the study of regularity of flows and renormalized solutions for the transport and contin…
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields
Elia Bruè, Quoc-Hung Nguyen
The aim of this note is to prove sharp regularity estimates for solutions of the continuity equation associated to vector fields of class with . The regularity is of…
Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows
Elia Bruè, Daniele Semola
We prove a regularity result for Lagrangian flows of Sobolev vector fields over RCD(K,N) metric measure spaces, regularity is understood with respect to a newly defined quasi-metri…
Regularity of Lagrangian flows over spaces
Elia Bruè, Daniele Semola
The aim of this note is to provide regularity results for Regular Lagrangian flows of Sobolev vector fields over compact metric measure spaces verifying the Riemannian curvature di…
Linear Lipschitz and extension operators through random projection
Elia Bruè, Simone Di Marino, Federico Stra
We construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and functions. This way we prove more directl…