How smooth are restrictions of Besov functions?

2025/09/09 by Julien Brasseur, Brasseur, Julien
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2509.07420

openalex publication_date 2025/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a previous work, we showed that Besov spaces do not enjoy the restriction property unless q≤ p. Specifically, we proved that if p

Citations

• Lifting in Besov Spaces
• Embeddings of Besov Spaces on fractal h-sets

Related

• On restrictions of Besov functions
• On various approaches to Besov-type spaces of variable smoothness
• Isotropic and Dominating Mixed Besov Spaces - a Comparison
• Continuous characterization of Besov spaces of variable smoothness and integrability
• A trace theorem for Besov functions in spaces of homogeneous type