粗糙核分数次积分算子的多线性算子在Hardy空间上的有界性

Boundeness of Multilinear Operators Related to Fractional Integral with Rough Kernel on Hardy Spaces

该文证明带有粗糙核的分数次积分算子的多线性算子T_(Ω,α)~A(f)(x)=p.v.∫_(R^n)P_m(A;x,y)(Ω(x-y)/(|x-y|)^(n-α+m-1))f(y)dy的(H^1(R^n),L^(n/(n-α),∞)(R^n))有界性.

In this paper, the authors discuss the （H^1（R^n）,Ln/n-α,∞（R^n））boundedness of themultilinear operator related to fractional integral with rough kernel TΩ^Aα（f）（x）=p.v.∫RnPm（A;x;y）Ω（x-y）/｜x-y｜^n-α＋m-1f（y）dy.