# A weak type estimate for rough singular integrals

## TL;DR

This paper establishes a weak type (1,1) estimate for a maximal operator linked to rough homogeneous singular integrals, offering an alternative approach to sparse domination results.

## Contribution

It provides a new proof of sparse domination for rough singular integrals through a weak type (1,1) estimate for the associated maximal operator.

## Key findings

- Proves weak type (1,1) estimate for the maximal operator
- Offers an alternative approach to sparse domination
- Enhances understanding of rough singular integrals

## Abstract

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