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2015 Reducing Subspaces of Some Multiplication Operators on the Bergman Space over Polydisk
Yanyue Shi, Na Zhou
Abstr. Appl. Anal. 2015: 1-12 (2015). DOI: 10.1155/2015/209307

Abstract

We consider the reducing subspaces of MzN on Aα2(Dk), where k3, zN=z1N1zkNk, and NiNj for ij. 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.

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Yanyue Shi. Na Zhou. "Reducing Subspaces of Some Multiplication Operators on the Bergman Space over Polydisk." Abstr. Appl. Anal. 2015 1 - 12, 2015. https://doi.org/10.1155/2015/209307

Information

Published: 2015
First available in Project Euclid: 15 June 2015

zbMATH: 1356.47011
MathSciNet: MR3335429
Digital Object Identifier: 10.1155/2015/209307

Rights: Copyright © 2015 Hindawi

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