Some estimates of intrinsic square functions on weighted Herz-type Hardy spaces

Abstract

In this paper, by using the atomic decomposition theory of weighted Herz-type Hardy spaces, we will obtain some strong type and weak type estimates for intrinsic square functions including the Lusin area function, Littlewood-Paley $\mathcal G$-function and $\mathcal G^*_\lambda$-function on these spaces.