Embeddings properties on Herz-type Besov and Triebel-Lizorkin spaces

We study the embeddings problems on Herz-type Besov-Triebel-Lizorkin spaces. In particular we will give a proof of the Sobolev-type embedding for these function spaces. All these results generalize the classical results on Besov and Triebel-Lizorkin spaces. Mathematics subject classification (2010): 46E35.