2 citations · 2 across the 7 of their papers we have counts for
8 papers
Metric Sobolev spaces II: dual energies and divergence measures
Luigi Ambrosio, Toni Ikonen, Danka Lučić +1
This is the second of two works concerning the Sobolev calculus on metric measure spaces and its applications. In this work, we focus on several approaches to vector calculus in th…
Tensor products of measurable Banach bundles
Milica Caković, Danka Lučić, Enrico Pasqualetto
We study injective and projective tensor products of measurable Banach bundles. More precisely, given two separable measurable Banach bundles , defined over a pr…
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…
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…
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…
A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
Simone Di Marino, Danka Lučić, Enrico Pasqualetto
We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, i…