2015/02/23 by Douadi Drihem, Drihem, Douadi
Mathematics · Medicine · #42B25 (Secondary) #46E35 (Primary) #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Soft tissue tumor case studies
paper · pdf · doi:10.48550/arxiv.1502.06417
openalex publication_date 2015/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we prove the Sobolev embeddings for Herz-type Triebel-Lizorkin spaces, Kq^α2,rFθ^s2\hookrightarrow K%s^α1,pFβ^s1 where the parameters α1,α2,s1,s2,s,q,r,p,β and θ satisfy some suitable conditions. An application we obtain new embeddings between Herz and Triebel-Lizorkin spaces. Moreover, we present the Sobolev embeddings for Triebel-Lizorkin spaces equipped with power weights. All these results cover the results on classical Triebel-Lizorkin spaces.