On Singular Integrals and Quantitative Rectifiability in Parabolic Space and the Heisenberg Group
Analysis of PDEs
2026-01-27 v3 Classical Analysis and ODEs
Abstract
David and Semmes proved that if all CZOs (of suitable dimension) are bounded with respect to an Ahlfors regular measure, then the measure is uniformly rectifiable. We extend this theorem to the parabolic space and the first Heisenberg group.
Cite
@article{arxiv.2510.26934,
title = {On Singular Integrals and Quantitative Rectifiability in Parabolic Space and the Heisenberg Group},
author = {John Hoffman and Ben Jaye},
journal= {arXiv preprint arXiv:2510.26934},
year = {2026}
}