# Amenability and Orlicz Figa-Talamanca Herz Algebras

## TL;DR

This paper explores the relationship between the amenability of locally compact groups and the properties of their associated Orlicz Figa-Talamanca Herz algebras, providing new characterizations.

## Contribution

It offers a novel characterization of group amenability using the properties of Orlicz Figa-Talamanca Herz algebras, linking harmonic analysis and algebraic properties.

## Key findings

- Characterization of amenability via algebra properties
- New criteria for group amenability
- Connections between harmonic analysis and algebraic structures

## Abstract

In this paper, we characterize the amenablity of locally compact groups in terms of the properties of the Orlicz Figa-Talamanca Herz algebras.