分别得到定义在带幂权Morrey空间Lp，λ（$\mathbb{R}^n$，|x|αdx）和带幂权齐次中心Morrey空间$\dot B$p，λ（$\mathbb{R}^n$，|x|αdx）上的Hausdorff算子$\mathscr{H}_Φ$的范数.并把这些结果推广到乘积Hausdorff算子$\mathscr{H}$Φm.
In this paper, we calculate the norm of the Hausdorff operator $\mathscr{H}_Φ$ defined on the Morrey space with power weights Lp,λ($\mathbb{R}^n$,|x|αdx) and the homogeneous central Morrey space with power weights $\dot B$p,λ($\mathbb{R}^n$,|x|αdx), respectively. We also extend our results to the product Hausdorff operator $\mathscr{H}$Φm.
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