分数次积分在局部Hardy空间上的有界性质

The Boundedness of Fractional Integral Operator on Local Hardy Spaces

证明了当0<α<n,n/(n+α)<p≤1,q>n/(n-α)时,分数次积分Iα是局部Hardy空间hp(Rn)到空间hp(Rn)+Lq(Rn)的一个线性映射.

Let 0〈a〈n,n/n＋a〈p≤1,q〉n/n＋a,we show that the fractional integrals Ia is a boundedness linear map from local Hardy space h^p（R^n）to h^p（R^n）＋L^q（R^n）.