# A different approach to endpoint weak-type estimates for Calder\'on-Zygmund operators

## TL;DR

This paper introduces a novel proof for the weak-type (1,1) estimate of Calderón-Zygmund operators, inspired by non-doubling measure techniques, and applies it to weighted inequalities.

## Contribution

It provides a new proof method for classical estimates, extending the approach to non-doubling measures and weighted inequalities.

## Key findings

- New proof of weak-type (1,1) estimate for Calderón-Zygmund operators
- Extension of techniques to non-doubling measure settings
- Application to weighted weak-type inequalities

## Abstract

We present a new proof of the classical weak-type $(1,1)$ estimate for Calder\'on-Zygmund operators. This proof is inspired by ideas of Nazarov, Treil, and Volberg that address the non-doubling setting. An application to a weighted weak-type inequality is also given.