The Essentials, Key Theorems

Abstract

Embeddings between function spaces as introduced in Definition 1.1 and into other distinguished subspaces of $S^{\prime } ({\mathbb{R}}^{n} )$ play a crucial role in the theory of function spaces. In this chapter, we wish to extend the already existing assertions for the spaces $A_{p,q}^{s} ( {\mathbb{R}}^{n} )$ with $p < {\infty }$ for the F-spaces to $F_{{{\infty },q}}^{s} ({\mathbb{R}}^{n} )$.