Ghosh, G and Narayanan, EK (2023) Toeplitz operators on the weighted Bergman spaces of quotient domains. In: Bulletin des Sciences Mathematiques, 188 .
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Abstract
Let G be a finite pseudoreflection group and Ω⊆Cd be a bounded domain which is a G-space. We establish identities involving Toeplitz operators on the weighted Bergman spaces of Ω and Ω/G using invariant theory and representation theory of G. This, in turn, provides techniques to study algebraic properties of Toeplitz operators on the weighted Bergman space on Ω/G. We specialize on the generalized zero-product problem and characterization of commuting pairs of Toeplitz operators. As a consequence, more intricate results on Toeplitz operators on the weighted Bergman spaces on some specific quotient domains (namely symmetrized polydisc, monomial polyhedron, Rudin's domain) have been obtained. © 2023 Elsevier Masson SAS
| Item Type: | Journal Article |
|---|---|
| Publication: | Bulletin des Sciences Mathematiques |
| Publisher: | Elsevier Masson s.r.l. |
| Additional Information: | The copyright for this article belongs to the Author. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 14 Dec 2023 03:49 |
| Last Modified: | 14 Dec 2023 03:49 |
| URI: | https://eprints.iisc.ac.in/id/eprint/83379 |
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