36 citations · 216 across the 42 of their papers we have counts for
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math.CA2026
Functions of bounded variation are not dense in the Strong BD Norm
Panu Lahti, Quoc-Hung Nguyen
We prove that functions of bounded variation are not dense in the space of functions of bounded deformation with respect to the strong BD norm. Using alternating Riesz products and…
math.CA2018★ 5 cited
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…
math.CA2018
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…