Abstract: In this paper, we calculate the norm of the Hausdorff operator $\mathscr{H}_Φ$ defined on the Morrey space with power weights L^p,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 $\mathscr{H}$_Φ^m.

Key words: Hausdorff operator, product Hausdorff operator, Morrey space