| Title:
|
Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk (English) |
| Author:
|
Lin, Hongzhao |
| Author:
|
Teng, Zhongming |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
1-19 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The reducing subspaces of Toeplitz operators $T_{z_1^N\bar {z}_2^M}$ on Dirichlet type spaces of the ${\mathcal {D}}_\alpha ({\mathbb {D}}^2)$ are described, which extends the results for the corresponding operators on Bergman spaces of the bidisk. (English) |
| Keyword:
|
reducing subspace |
| Keyword:
|
Toeplitz operator |
| Keyword:
|
Dirichlet type space |
| Keyword:
|
bidisk |
| MSC:
|
47B35 |
| idZBL:
|
07332704 |
| idMR:
|
MR4226469 |
| DOI:
|
10.21136/CMJ.2020.0113-19 |
| . |
| Date available:
|
2021-03-12T16:08:42Z |
| Last updated:
|
2023-04-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148725 |
| . |
| Reference:
|
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| Reference:
|
[2] Deng, J., Lu, Y., Shi, Y.: Reducing subspaces for a class of non-analytic Toeplitz operators on the bidisk.J. Math. Anal. Appl. 445 (2017), 784-796. Zbl 1358.47018, MR 3543794, 10.1016/j.jmaa.2016.08.012 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[10] Stessin, M., Zhu, K.: Reducing subspaces of weighted shift operators.Proc. Am. Math. Soc. 130 (2002), 2631-2639. Zbl 1035.47015, MR 1900871, 10.1090/S0002-9939-02-06382-7 |
| Reference:
|
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| Reference:
|
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| . |
