44 citations · 76 across the 10 of their papers we have counts for
8 papers · 1 filter
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.…
Removability of product sets for Sobolev functions in the plane
Tapio Rajala, Ugo Bindini
We study conditions on closed sets making the product removable or non-removable for . The main results show that the Hausdorff-dimen…
Bi-Lipschitz invariance of planar - and -extension domains
Miguel García-Bravo, Tapio Rajala, Zheng Zhu
We prove that a bi-Lipschitz image of a planar -extension domain is also a -extension domain, and that a bi-Lipschitz image of a planar -extension domain is again…
Characterisation of upper gradients on the weighted Euclidean space and applications
Danka Lučić, Enrico Pasqualetto, Tapio Rajala
In the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove the equivalence among several different notions of Sobolev space present in the literature and…
A density result on Orlicz-Sobolev spaces in the plane
Walter A. Ortiz, Tapio Rajala
We show the density of smooth Sobolev functions in the Orlicz-Sobolev spaces for bounded simply connected planar domains and doub…
Restricting open surjections
Jesus A. Jaramillo, Enrico Le Donne, Tapio Rajala
We show that any continuous open surjection from a complete metric space to another metric space can be restricted to a surjection for which the domain has the same density charact…