Ghosh, G (2022) Multiplication operators on the Bergman space by proper holomorphic mappings. In: Journal of Mathematical Analysis and Applications, 510 (2).
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Official URL: https://doi.org/10.1016/j.jmaa.2022.126026
Abstract
Suppose that f:=(f1,�,fd):Ω1�Ω2 is a proper holomorphic map between two bounded domains in Cd. We show that the multiplication operator (tuple) Mf=(Mf1,�,Mfd) on the Bergman space A2(Ω1) admits a non-trivial minimal joint reducing subspace, say M and the restriction of Mf to M is unitarily equivalent to the Bergman operator on A2(Ω2). A number of interesting consequences of this result have been observed. © 2022 Elsevier Inc.
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of Mathematical Analysis and Applications |
| Publisher: | Academic Press Inc. |
| Additional Information: | The copyright for this article belongs to Academic Press Inc. |
| Department/Centre: | Division of Mechanical Sciences > Chemical Engineering |
| Date Deposited: | 17 Feb 2022 06:36 |
| Last Modified: | 17 Feb 2022 06:36 |
| URI: | http://eprints.iisc.ac.in/id/eprint/71300 |
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