Boundedness of intrinsic square functions on the weighted weak Hardy spaces

Abstract

In this paper, by using the atomic decomposition theorem for weighted weak Hardy spaces, we will show the boundedness properties of intrinsic square functions including the Lusin area integral, Littlewood-Paley $g$-function and $g_{\lambda }^{\ast }$-function on these spaces.

14 pages. arXiv admin note: text overlap with arXiv:1111.1388, arXiv:1102.4380