Embedding Theorem In Anisotropic Besov Spaces And Triebel-Lizorkin Spaces

In the paper, using the theory of Littlewood-Paley, we investigate the embedding properties of anisotropic Besov spaces and Triebel-Lizorkin spaces, obtain their embedding theorems and give the proofs.The thesis is divided into four sections.In the first chapter, we simply introduce the elementary knowledge of anisotropic spaces and embedding theorem, explain the prime task in this article.In the second chapter, we introduce the notations and related lemmas of anisotropic Besov spaces and Triebel-Lizorkin spaces.In the third chapter and the fourth chapter, we study the embedding theorems of anisotropic Besov spaces and Triebel-Lizorkin spaces and use the theory of Littlewood-Paley to prove them.