Note about square function estimates and uniformly rectifiable measures

Abstract

We generalise and offer a different proof of a recent $L^2$ square function estimate on UR sets by Hofmann, Mitrea, Mitrea and Morris. The proof is a short argument using the $\alpha$-numbers of Tolsa.

8 pages

References in corpus (1)

• Uniform rectifiability, Calderon-Zygmund operators with odd kernel, and quasiorthogonality