# The Marcinkiewicz multiplier theorem revisited

## TL;DR

This paper offers a comprehensive proof of an optimal version of the Marcinkiewicz multiplier theorem, enhancing understanding of multiplier operators in harmonic analysis.

## Contribution

It presents a complete and optimal proof of the Marcinkiewicz multiplier theorem, clarifying its conditions and implications.

## Key findings

- Established the optimal conditions for the Marcinkiewicz multiplier theorem
- Provided a rigorous and complete proof of the theorem
- Enhanced theoretical understanding of multiplier operators

## Abstract

We provide a complete proof of an optimal version of the Marcinkiewicz multiplier theorem.