1 citations · 1 across the 5 of their papers we have counts for
5 papers
Differentiability of Lipschitz curves in -Banach spaces
Fernando Albiac, José L. Ansorena, Pietro Wald
The problem of differentiating Lipschitz curves in Banach spaces goes back to Tamarkin in the early 1930s and is one of the origins of the Radon--Nikodým property in classical Bana…
Planar lamplighter is not of negative type
Gioacchino Antonelli, Emanuele Caputo, Nicola Cavallucci +3
The lamplighter group over the planar integer grid is proved to not be bi-Lipschitz equivalent to any metric space of negative type, so in particular it does not admit a bi-Lipschi…
Shortcut Laakso spaces, pure PI unrectifiability and differentiability of Lipschitz functions
David Bate, Pietro Wald
We construct a family of purely PI unrectifiable Lipschitz differentiability spaces and investigate the possible of Banach spaces targets for which Lipschitz differentiability hold…
Structure of Metric -currents: approximation by normal currents and representation results
David Bate, Emanuele Caputo, Jakub Takáč +2
We prove the -dimensional flat chain conjecture in any complete and quasiconvex metric space, namely that metric -currents can be approximated in mass by normal -currents.…
Kakeya maximal inequality in the Heisenberg group
Katrin Fässler, Andrea Pinamonti, Pietro Wald
We define the Heisenberg Kakeya maximal functions , , by averaging over -neighborhoods of horizontal unit line segments in the Heisenberg group equip…