English

A weak type estimate for rough singular integrals

Classical Analysis and ODEs 2017-05-23 v1

Abstract

We obtain a weak type (1,1)(1,1) estimate for a maximal operator associated with the classical rough homogeneous singular integrals TΩT_{\Omega}. In particular, this provides a different approach to a sparse domination for TΩT_{\Omega} obtained recently by Conde-Alonso, Culiuc, Di Plinio and Ou.

Keywords

Cite

@article{arxiv.1705.07397,
  title  = {A weak type estimate for rough singular integrals},
  author = {Andrei K. Lerner},
  journal= {arXiv preprint arXiv:1705.07397},
  year   = {2017}
}
R2 v1 2026-06-22T19:53:43.344Z