中文摘要：

主要研究高维Hausdorff算子在加权Herz型空间上的有界性及加权Herz型哈代空间上的有界性．通过极坐标分解、Minkowski不等式及Holder不等式，得出Hausdorff算子在加权Herz型空间上有界的充分性条件；利用加权Herz型哈代空间上的原子性质，得出其有界的充分性条件．

英文摘要：

It was discussed the boundness of the multi-dimensional Hausdorff operators on the weighted Herz- type spaces and the weighted Herz-type Hardy spaces. It was obtained the sufficient condition for boundedness of the Hausdorff operator on the weighted Herz-type space by polar decomposition, Minkowski inequality and Holder inequality; For weighted Herz-type hardy space, from the nature of atomic, it was also obtained the sufficient condition for boundedness.