T. Rajala

activity

20072026

most citedRiemannian Ricci curvature lower bounds in metric measure spaces with

σ

-finite measure

206 citations · 394 across the 45 of their papers we have counts for

collaborators

Showing 2021Show all

6 papers · 1 filter

math.MG2021

Non-Hilbertian tangents to Hilbertian spaces

Danka Lučić, Enrico Pasqualetto, Tapio Rajala

We provide examples of infinitesimally Hilbertian, rectifiable, Ahlfors regular metric measure spaces having pmGH-tangents that are not infinitesimally Hilbertian.

math.FA2021

Removability of product sets for Sobolev functions in the plane

Tapio Rajala, Ugo Bindini

We study conditions on closed sets $C, F \subset R$ making the product $C \times F$ removable or non-removable for $W^{1, p}$ . The main results show that the Hausdorff-dimen…

math.CA2021

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…

math.PR2021

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.

math.FA2021

Bi-Lipschitz invariance of planar $B V$ - and $W^{1, 1}$ -extension domains

Miguel García-Bravo, Tapio Rajala, Zheng Zhu

We prove that a bi-Lipschitz image of a planar $B V$ -extension domain is also a $B V$ -extension domain, and that a bi-Lipschitz image of a planar $W^{1, 1}$ -extension domain is again…

math.MG2021

Strong $B V$ -extension and $W^{1, 1}$ -extension domains

Miguel García-Bravo, Tapio Rajala

We show that a bounded domain in a Euclidean space is a $W^{1, 1}$ -extension domain if and only if it is a strong $B V$ -extension domain. In the planar case, bounded and strong $B V$ -…