Year: 2026
Type: preprint
Abstract: We prove that if a $(k+2)$-Ahlfors--David regular measure $μ$ in parabolic space $\mathbb P^n$ has support equal to a parabolic Lipschitz graph with sufficiently small Lipschitz constant, and the parabolic Riesz transform is bounded on $L^2(μ)$, then $μ$ is parabolic uniformly rectifiable and the graph is regular parabolic Lipschitz. The result holds for every integer $0\leq k\leq n-1$.
Source: arXiv (Cornell University)
Author: Hoffman, John
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223659533