On Singular Integrals and Quantitative Rectifiability in Parabolic Space and the Heisenberg Group
Published: Oct 30, 2025
Last Updated: Oct 30, 2025
Authors:John Hoffman, Ben Jaye
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.