Abstract
We consider weighted Hardy spaces over bidisk ${\mathbb D}^2$ which generalize the weighted Bergman spaces $A_\alpha^2({\mathbb D}^2)$. Let $z,w$ be coordinate functions and $M_{z^Nw^N}$ the multiplication by $z^Nw^N$ for a natural number $N$. In this paper, we study the reducing subspaces of $M_{z^Nw^N}$. In particular, we obtain the minimal reducing subspaces of $M_{zw}$.
Citation
Shuhei KUWAHARA. "Reducing subspaces of multiplication operators on weighted Hardy spaces over bidisk." J. Math. Soc. Japan 69 (4) 1555 - 1563, October, 2017. https://doi.org/10.2969/jmsj/06941555
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