Littlewood-Paley characterization of Hölder-Zygmund spaces on stratified Lie groups

Guorong Hu

In this paper, we give a Littlewood-Paley characterization for the Hölder-Zygmund spaces ${\mathcal{C}}^{\sigma }(G)$ ($0<\sigma <\infty$) on a stratified Lie group $G$.