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

preprint2012arXivOpen access

Abstract

In this paper, we will obtain the weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley gg-function and gλ∗g^*_λ-function on the weighted Morrey spaces L1,κ(w)L^{1,κ}(w) for 0<κ<10<κ<1 and w∈A1w\in A_1.

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