Sharp embedding between Besov-Triebel-Sobolev spaces and modulation spaces

2021/08/27 by Yufeng Lu, Lu, Yufeng
Mathematics · #42E35(Secondary) #46E35(Primary) #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2108.12106

openalex publication_date 2021/08/27 · openalex created_date 2021/09/13 · openalex updated_date 2026/07/28

Abstract

The embedding relations between Besov-Triebel-Sobolev spaces and modulation spaces are determined explicitly. We extend the results of Sugimoto[2007]; Wang[2007] and Kobayashi[2011] to the most general cases. And we give the sharp embedding between Fourier L^p spaces and modulation spaces.

Related

• The inclusion relation between Sobolev and modulation spaces
• Inclusion relations between Modulation and Triebel-Lizorkin spaces
• Embeddings of α-modulation spaces
• On sharp embeddings of Besov and Triebel-Lizorkin spaces in the subcritical case
• Sharp embedding relations between Local Hardy and α-Modulation Spaces