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 2025Show all

3 papers · 1 filter

math.FA2025

Planar $W^{1, 1}$ -extension domains

Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang

We show that a bounded planar simply connected domain $Ω$ is a $W^{1, 1}$ -extension domain if and only if for every pair $x, y$ of points in $Ω^{c}$ there exists a curve $γ\subset Ω^…

math.MG2025

Closed BV-extension and $W^{1, 1}$ -extension sets

Emanuele Caputo, Jesse Koivu, Danka Lučić +1

This paper studies the relations between extendability of different classes of Sobolev $W^{1, 1}$ and $B V$ functions from closed sets in general metric measure spaces. Under the ass…

math.MG2025

A note on Laplacian bounds, deformation properties and isoperimetric sets in metric measure spaces

Enrico Pasqualetto, Tapio Rajala

In the setting of length PI spaces satisfying a suitable deformation property, it is known that each isoperimetric set has an open representative. In this paper, we construct an ex…

Planar W1,1-extension domains

Closed BV-extension and W1,1-extension sets

A note on Laplacian bounds, deformation properties and isoperimetric sets in metric measure spaces

Planar $W^{1, 1}$ -extension domains

Closed BV-extension and $W^{1, 1}$ -extension sets