Weak type estimates for intrinsic square functions on the weighted Morrey spaces

Abstract

In this paper, we will obtain the weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley $g$-function and $g_{\lambda }^{\ast }$-function on the weighted Morrey spaces $L^{1,\kappa }(w)$ for $0<\kappa <1$ and $w\in A_1$.

15 pages. arXiv admin note: text overlap with arXiv:1102.4380, arXiv:1103.1715