2 citations · 2 across the 7 of their papers we have counts for
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math.MG2021
Pullback of a quasiconformal map between arbitrary metric measure spaces
Toni Ikonen, Danka Lučić, Enrico Pasqualetto
We prove that every (geometrically) quasiconformal homeomorphism between metric measure spaces induces an isomorphism between the cotangent modules constructed by Gigli. We obtain…
math.FA2021
A note on BV and 1-Sobolev functions on the weighted Euclidean space
Maria Stella Gelli, Danka Lučić
In the setting of the Euclidean space equipped with an arbitrary Radon measure, we prove the equivalence between several notions of function of bounded variation present in the lit…
math.FA2021★ 2 cited
Representation theorems for normed modules
Simone Di Marino, Danka Lučić, Enrico Pasqualetto
In this paper we study the structure theory of normed modules, which have been introduced by Gigli. The aim is twofold: to extend von Neumann's theory of liftings to the framework…