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math.FA2022
Tensorization of quasi-Hilbertian Sobolev spaces
Sylvester Eriksson-Bique, Tapio Rajala, Elefterios Soultanis
The tensorization problem for Sobolev spaces asks for a characterization of how the Sobolev space on a product metric measure space can be determined from its factors.…
math.FA2018
Differential of metric valued Sobolev maps
Nicola Gigli, Enrico Pasqualetto, Elefterios Soultanis
We introduce a notion of differential of a Sobolev map between metric spaces. The differential is given in the framework of tangent and cotangent modules of metric measure spaces,…
math.FA2017
Path and quasihomotopy for Sobolev maps between manifolds
Elefterios Soultanis
We study the relationship between quasihomotopy and path homotopy for Sobolev maps between manifolds. We employ singular integrals on manifolds to show that, in the critical expone…