English

Note about square function estimates and uniformly rectifiable measures

Classical Analysis and ODEs 2019-01-24 v1

Abstract

We generalise and offer a different proof of a recent L2L^2 square function estimate on UR sets by Hofmann, Mitrea, Mitrea and Morris. The proof is a short argument using the α\alpha-numbers of Tolsa.

Cite

@article{arxiv.1501.01274,
  title  = {Note about square function estimates and uniformly rectifiable measures},
  author = {Henri Martikainen and Mihalis Mourgoglou},
  journal= {arXiv preprint arXiv:1501.01274},
  year   = {2019}
}

Comments

8 pages

R2 v1 2026-06-22T07:52:47.360Z