Properties of parabolic Sobolev and parabolic Besov spaces

Abstract

In this paper, we characterize parabolic Besov and parabolic Sobolev spaces in ${\mathbf{R}}^{n+1}$ and ${\mathbf{R}}_T^{n+1},T>0$. We also, study the relation between parabolic Besov spaces in ${\mathbf{R}}_T^n,T>0$ and standard Besov space in $\mathbb{R}$.