Robert Young

activity

20052023

most citedFilling inequalities for nilpotent groups

21 citations · 98 across the 26 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.CA2020

Harmonic intrinsic graphs in the Heisenberg group

Robert Young

Minimal surfaces in $R^{n}$ can be locally approximated by graphs of harmonic functions, i.e., functions that are critical points of the Dirichlet energy, but no analogous t…

math.MG2020

The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups

Vasileios Chousionis, Sean Li, Robert Young

We show that the $β$ --numbers of intrinsic Lipschitz graphs of Heisenberg groups $H_{n}$ are locally Carleson integrable when $n \geq 2$ . Our technique relies on a recent Do…

math.MG2020

Foliated corona decompositions

Assaf Naor, Robert Young

We prove that the $L_{4}$ norm of the vertical perimeter of any measurable subset of the $3$ -dimensional Heisenberg group $H$ is at most a universal constant multiple of the…