28 citations · 102 across the 27 of their papers we have counts for
4 papers · 1 filter
Quantitative affine approximation for UMD targets
Tuomas Hytönen, Sean Li, Assaf Naor
It is shown here that if is a Banach space in which martingale differences are unconditional (a UMD Banach space) then there exists with th…
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…
Differentiability and Poincaré-type inequalities in metric measure spaces
David Bate, Sean Li
We demonstrate the necessity of a Poincaré type inequality for those metric measure spaces that satisfy Cheeger's generalization of Rademacher's theorem for all Lipschitz functions…
BiLipschitz decomposition of Lipschitz maps between Carnot groups
Sean Li
Let be a Lipschitz map between two Carnot groups. We show that if is ball of , then there exists a subset , whose image in under has small…