We consider weighted Hardy spaces on polydisk ${\mathbf D}^n$ with $n\gt 1$. Let $z_1,z_2,\ldots,z_n$ be coordinate functions and $N_j \in \mathbf{N}$. In this paper, we determine common reducing subspaces of $M_{z_1}^{N_1},M_{z_2}^{N_2},\ldots,M_{z_n}^{N_n}$.
References
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