Homogeneous Spaces

Abstract

In this chapter we deal with the homogeneous counterpart of $A_{p, q}^{s, \tau }({\mathbb{R}}^ n)$. The homogeneous Besov-type spaces $\dot{B}_{p, q}^{s, \tau }({\mathbb{R}}^ n)$ and Triebel-Lizorkin-type spaces $\dot{F}_{p, q}^{s, \tau }({\mathbb{R}}^ n)$ were introduced and investigated in [127, 164–167].