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Reducing Subspaces of Some Multiplication Operators on the Bergman Space over Polydisk
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We consider the reducing subspaces of M z N on A α 2 ( D k ) , where k ≥ 3 , z N = z 1 N 1 ⋯ z k N k , and N i ≠ N j for i ≠ j .
We prove that each reducing subspace of M z N 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 M z N on A α 2 ( D 3 ) with α > - 1 .
American Psychological Association (APA)
Shi, Yanyue& Zhou, Na. 2015. Reducing Subspaces of Some Multiplication Operators on the Bergman Space over Polydisk. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1051998
Modern Language Association (MLA)
Shi, Yanyue& Zhou, Na. Reducing Subspaces of Some Multiplication Operators on the Bergman Space over Polydisk. Abstract and Applied Analysis No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1051998
American Medical Association (AMA)
Shi, Yanyue& Zhou, Na. Reducing Subspaces of Some Multiplication Operators on the Bergman Space over Polydisk. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1051998
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051998