44 citations · 76 across the 9 of their papers we have counts for
25 papers
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.…
Zero volume boundary for extension domains from Sobolev to
Tapio Rajala, Zheng Zhu
In this note, we prove that the boundary of a -extension domain is of volume zero under the assumption that the domain $\boz$ is -fat at almost every $x\in\parti…
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…
Two-sided boundary points of Sobolev-extension domains on Euclidean spaces
Miguel García-Bravo, Tapio Rajala, Jyrki Takanen
We prove an estimate on the Hausdorff-dimension of the set of two-sided boundary points of general Sobolev-extension domains on Euclidean spaces. We also present examples showing l…
Uniform approximation of continuous couplings
Ugo Bindini, Tapio Rajala
We study the approximation of non-negative multi-variate couplings in the uniform norm while matching given single-variable marginal constraints.
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…