On the Theory of Multilinear Singular Operators with Rough Kernels on the Weighted Morrey Spaces

We study some multilinear operators with rough kernels. for the multilinear fractional integral operators t ω,α a and the multilinear fractional maximal integral operators m ω,α a,we obtain their boundedness on weighted morrey spaces with two weights l p,(u,v) when d γ a ϵ λ β (| γ | = m-1) or d γ a ϵ b m o (| γ | = m-1). for the multilinear singular integral operators t ω a and the multilinear maximal singular integral operators m ω a,we show they are bounded on weighted morrey spaces with two weights l p,(u,v) if d γ a ϵ λ β (| γ | = m-1) and bounded on weighted morrey spaces with one weight l p,(w) if d γ a ϵ b m o (| γ | = m-1) for m = 1,2. © 2016 s. he and x. tao.