206 citations · 394 across the 45 of their papers we have counts for
4 papers · 1 filter
Ahlfors-regular distances on the Heisenberg group without biLipschitz pieces
Enrico Le Donne, Sean Li, Tapio Rajala
We show that the Heisenberg group is not minimal in looking down. This answers Problem 11.15 in `Fractured fractals and broken dreams' by David and Semmes, or equivalently, Questio…
estimates in optimal mass transportation
Heikki Jylhä, Tapio Rajala
We show that in any complete metric space the probability measures with compact and connected support are the ones having the property that the optimal tranportation distance t…
Tangent lines and Lipschitz differentiability spaces
Fabio Cavalletti, Tapio Rajala
We study the existence of tangent lines, i.e. subsets of the tangent space isometric to the real line, in tangent spaces of metric spaces. We first revisit the almost everywhere me…
A geometric characterization of planar Sobolev extension domains
Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang
We characterize bounded simply-connected planar -extension domains for as those bounded domains for which any two points $z_1,z_2 \in \ma…