reducing subspaces of some multiplication operators on the bergman space over polydisk
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2015
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Abstract
We consider the reducing subspaces of MzN on Aα2(Dk), where k≥3, zN=z1N1⋯zkNk, and Ni≠Nj for i≠j. We prove that each reducing subspace of MzN is a direct sum of some minimal reducing subspaces. We also characterize the minimal reducing subspaces in the cases that α=0 and α∈(-1,+∞)∖Q, respectively. Finally, we give a complete description of minimal reducing subspaces of MzN on Aα2(D3) with α>-1.
| Reference Key |
shi2015abstractreducing
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|---|---|
| Authors | ;Yanyue Shi;Na Zhou |
| Journal | science and technology of advanced materials |
| Year | 2015 |
| DOI |
10.1155/2015/209307
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