Reducing Subspaces of Some Multiplication Operators on the Bergman Space over Polydisk

Yanyue Shi and Na Zhou

Abstract and Applied Analysis, 2015, vol. 2015, 1-12

Abstract:

We consider the reducing subspaces of on , where , , and for . We prove that each reducing subspace of is a direct sum of some minimal reducing subspaces. We also characterize the minimal reducing subspaces in the cases that and , respectively. Finally, we give a complete description of minimal reducing subspaces of on with .

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:209307

DOI: 10.1155/2015/209307

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