Jawerth-Franke embeddings of Herz-type Besov and Triebel-Lizorkin spaces

Abstract

In this paper we prove the Jawerth-Franke embeddings of Herz-type Besov and Triebel-Lizorkin spaces. Moreover, we obtain the Jawerth-Franke embeddings of Besov and Triebel-Lizorkin spaces equipped with power weights. An application we present new embeddings between Besov and Herz spaces.

18 pages. arXiv admin note: text overlap with arXiv:1502.06417