Abstract
In this paper,we consider the boundedness and compactness of the multi-linear singular integral operator on Morrey spaces,which is defined by TAf(x)=p.v.∫RnΩ(x-y)/|x-y|n+1R(A;x,y)f(y)dy,where R(A;x,y)=A(x)-A(y)-(V)A(y)·(x-y)with DβA∈BMO(Rn)for all|β|=1.We prove that TA is bounded and compact on Morrey spaces Lp,λ(Rn)for all 1＜p＜∞ withΩ and A satisfying some conditions.Moreover,the boundedness and compactness of the maximal multilinear singular integral operator TA,* on Morrey spaces are also given in this paper.
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