L^p-Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels

摘要

We give the Lp-boundedness for a class of Marcinkiewicz integral operators μΩ, μΩ.λand μΩ.S related to the Littlewood-Paley g-function, gλ-function and the area integral S, respectively.These operators have the kernel functions Ω∈H1(Sn-1), the Hardy space on Sn-1. The results in thispaper substantially improve and extend the known results.