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

preprint2013arXivOpen access

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 G\mathcal G-function and Gλ∗\mathcal G^*_λ-function on these spaces.

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