Some Notes of Homogeneous Besov–Lorentz Spaces

Abstract

In this paper, we consider some properties of homogeneous Besov–Lorentz spaces. First, we get some relationship between ${\left({\dot{B}}_{p_0}^{s,q},{\dot{B}}_{p_1}^{s,q}\right)}_{\theta ,r}$ and Besov–Lorentz spaces, and then, we obtain the scaling property of ${\dot{B}}_{p,r}^{s,q}$ and ${{\dot{F}}_{p,r}}^{s,q}$ .