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math.MG2025
Closed BV-extension and -extension sets
Emanuele Caputo, Jesse Koivu, Danka Lučić +1
This paper studies the relations between extendability of different classes of Sobolev and functions from closed sets in general metric measure spaces. Under the ass…
math.MG2021
Gamma-convergence of Cheeger energies with respect to increasing distances
Danka Lučić, Enrico Pasqualetto
We prove a -convergence result for Cheeger energies along sequences of metric measure spaces, where the measure space is kept fixed, while distances are monotonically converging…
math.MG2019★ 1 cited
Universal infinitesimal Hilbertianity of sub-Riemannian manifolds
Enrico Le Donne, Danka Lučić, Enrico Pasqualetto
We prove that sub-Riemannian manifolds are infinitesimally Hilbertian (i.e., the associated Sobolev space is Hilbert) when equipped with an arbitrary Radon measure. The result foll…