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math.FA2025
An atomic decomposition of one-dimensional metric currents without boundary
You-Wei Benson Chen, Jesse Goodman, Felipe Hernandez +1
This paper proves an atomic decomposition of the space of -dimensional metric currents without boundary, in which the atoms are specified by closed Lipschitz curves with uniform…
math.FA2017★ 2 cited
Properties of a Hilbertian Norm for Perimeter
Felipe Hernandez
A recent paper of Jerison and Figalli proved a relationship between the norms of smoothed out indicator functions of sets and their perimeter. We continue this line of in…