Email this article Invariant subspaces generated by a single function in the Polydisk
- Authors: Koca B.B.1, Sadik N.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 102, No 1-2 (2017)
- Pages: 193-197
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150091
- DOI: https://doi.org/10.1134/S0001434617070215
- ID: 150091
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Abstract
In this study, we partially answer a question left open in Rudin’s book “Function Theory in Polydisks” on the structure of invariant subspaces of the Hardy space H2(Un) on the polydisk Un. We completely describe all invariant subspaces generated by a single function in the polydisk. Then, using our results, we prove the unitary equivalence of this type of invariant subspace and a characterization of outer functions in H2(Un).
About the authors
B. B. Koca
Department of Mathematics
Author for correspondence.
Email: basakoca@istanbul.edu.tr
Turkey, Istanbul
N. Sadik
Department of Mathematics
Email: basakoca@istanbul.edu.tr
Turkey, Istanbul
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