粗糙核多线性分数次积分算子在Morrey-Herz空间中的有界性

Boundedness of multilinear fractional integral operators on homogeneous Morrey-Herz spaces

研究两类带粗糙核的多线性分数次积分算子,用转化为相应的截断算子来研究的方法,得出它们是从MKα,λp1,q1空间到MKα,λp2,q2空上的有界算子,把前人Herz空间此类算子的有界性推广到Herz-Morrey空间.

In this paper, we study two classes of multilinear fractional singular integral operators with rough kernal. By the method of studying their corresponding truncated operators, we obtained their boundednsss M（K）α,λp1,q1 which extend the results of the previous papers on Herz space to that from space M（K）α,λp1,q1 to space p2,q2, on Moeery-Herz spaces.