Weighted Boundedness of Hyper Singular Marcinkiewicz Integral Operators

We discuss a class weighted norm inequality for the following Marcinkiewicz integral operator α≥ 0.Where Ω ∈ H q(Sn-1),q =(n-1/)(n-1+α) satisfying certain cancelation conditions,b(r)∈L∞(R+),and ω∈Ap.We also give the weighted boundedness for a class of Marcinkiewicz integral operators with rough kernels μΩ,λ,α *,b and μ Ωb,S,α,respectively.