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math.MG2025
Closed BV-extension and -extension sets
Emanuele Caputo, Jesse Koivu, Danka LuÄiÄ +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.MG2025
A note on Laplacian bounds, deformation properties and isoperimetric sets in metric measure spaces
Enrico Pasqualetto, Tapio Rajala
In the setting of length PI spaces satisfying a suitable deformation property, it is known that each isoperimetric set has an open representative. In this paper, we construct an ex…