# Localisation uniforme des espaces de Besov et de Lizorkin-Triebel

## TL;DR

This paper provides intrinsic characterizations of uniformly localized Besov and Lizorkin-Triebel spaces, extending understanding of these function spaces for various parameters and their applications in analysis.

## Contribution

It introduces new intrinsic characterizations for uniformly localized Besov and Lizorkin-Triebel spaces for all relevant parameters, broadening their theoretical framework.

## Key findings

- Characterizations valid for all s>0
- Applicable to all p,q in specified ranges
- Enhances understanding of localized function spaces

## Abstract

We give intrinsic characterisations for the uniformly localized versions of the Besov spaces $B^{s}_{p,q}({\mathbb R}^n)$, where $p,q\in [1,+\infty]$, and of the Lizorkin-Triebel spaces $F^{s}_{p,q}({\mathbb R}^n)$, where $q\in [1,+\infty]$ and $p\in [1,+\infty[$, whatever be the real number $s>0$.