Reducing Subspaces of Some Multiplication Operators on the Bergman Space over Polydisk
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. F...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/209307 |
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