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math.CA2022★ 1 cited
Classical flows of vector fields with exponential or sub-exponential summability
Luigi Ambrosio, Sebastiano Nicolussi Golo, Francesco Serra Cassano
We show that vector fields whose spatial derivative satisfies a Orlicz summability condition have a spatially continuous representative and are well-posed. For the case…
math.CA2022
Optimal -approximation of functions with exponentially or sub-exponentially integrable derivative
Luigi Ambrosio, Sebastiano Nicolussi Golo, Francesco Serra Cassano
We discuss Meyers-Serrin's type results for smooth approximations of functions , with convergence of an energy of the form \[…
math.DG2022
Jet spaces on Carnot groups
Sebastiano Nicolussi Golo, Benjamin Warhurst
Jet spaces on have been shown to have a canonical structure of stratified Lie groups (also known as Carnot groups). We construct jet spaces over stratified Lie groups…