In this paper, the authors prove the boundedness of the multilinear maximal functions, multilinear singular integrals and multilinear Riesz potential on the product generalized Morrey spaces Mp1,ω1(Rn) ×···× Mpm,ω1(Rn) respectivelyThe main theorems of this paper extend some known results.
In this paper,the authors get the Coifman type weighted estimates and weak weighted LlogL estimates for vector-valued generalized commutators of multilinear fractional integral with ω∈A∞.Furthermore,both the boundedness of vector-valued multilinear fractional integral and the weak weighted LlogL estimates for vector-valued multilinear fractional integral are also obtained.
In this paper, the authors prove the weighted boundedness of singular integral and fractional integral with a rough kernel on the weighted λ-central Morrey space. Moreover, the weighted estimate for commutators of singular integral with a rough kernel on the weightedλ-central Morrey space is also given.
