# Logarithmic Sobolev inequality revisited

## TL;DR

This paper offers a novel characterization of the logarithmic Sobolev inequality, enhancing understanding of its foundational properties and potential applications in analysis.

## Contribution

It introduces a new perspective on the logarithmic Sobolev inequality, broadening its theoretical framework.

## Key findings

- New characterization of the inequality
- Potential implications for functional analysis
- Enhanced theoretical understanding

## Abstract

We provide a new characterization of the logarithmic Sobolev inequality.