Pointwise multipliers for Triebel--Lizorkin and Besov spaces on Lie groups

2023/03/23 by Tommaso Bruno, Bruno, Tommaso, Marco M. Peloso +3
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2303.13134

openalex publication_date 2023/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

On a general Lie group G endowed with a sub-Riemannian structure and of local dimension d, we characterize the pointwise multipliers of Triebel--Lizorkin spaces F^p,q_α for p,q∈ (1,∞) and α>d/p, and those of Besov spaces B^p,q_α for q∈ [1,∞], p>d and d/p< α<1. When G is stratified, we extend the latter characterization to all p,q∈ [1,∞] and α>d/p.

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