Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk
Czechoslovak Mathematical Journal (2021)
- Issue: 1, page 1-19
- ISSN: 0011-4642
Access Full Article
topAbstract
topHow to cite
topLin, Hongzhao, and Teng, Zhongming. "Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk." Czechoslovak Mathematical Journal (2021): 1-19. <http://eudml.org/doc/297316>.
@article{Lin2021,
abstract = {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.},
author = {Lin, Hongzhao, Teng, Zhongming},
journal = {Czechoslovak Mathematical Journal},
keywords = {reducing subspace; Toeplitz operator; Dirichlet type space; bidisk},
language = {eng},
number = {1},
pages = {1-19},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk},
url = {http://eudml.org/doc/297316},
year = {2021},
}
TY - JOUR
AU - Lin, Hongzhao
AU - Teng, Zhongming
TI - Reducing subspaces of Toeplitz operators on Dirichlet type spaces of the bidisk
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 1
EP - 19
AB - 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.
LA - eng
KW - reducing subspace; Toeplitz operator; Dirichlet type space; bidisk
UR - http://eudml.org/doc/297316
ER -
References
top- Albaseer, M., Lu, Y., Shi, Y., 10.4134/BKMS.2015.52.5.1649, Bull. Korean Math. Soc. 52 (2015), 1649-1660. (2015) Zbl1336.47030MR3406026DOI10.4134/BKMS.2015.52.5.1649
- Deng, J., Lu, Y., Shi, Y., 10.1016/j.jmaa.2016.08.012, J. Math. Anal. Appl. 445 (2017), 784-796. (2017) Zbl1358.47018MR3543794DOI10.1016/j.jmaa.2016.08.012
- Gu, C., 10.1016/j.jmaa.2017.11.004, J. Math. Anal. Appl. 459 (2018), 980-996. (2018) Zbl06817611MR3732567DOI10.1016/j.jmaa.2017.11.004
- Guo, K., Huang, H., On multiplication operators on the Bergman space: Similarity, unitary equivalence and reducing subspaces, J. Oper. Theory 65 (2011), 355-378. (2011) Zbl1222.47040MR2785849
- Guo, K., Sun, S., Zheng, D., Zhong, C., 10.1515/CRELLE.2009.021, J. Reine Angew. Math. 628 (2009), 129-168. (2009) Zbl1216.47055MR2503238DOI10.1515/CRELLE.2009.021
- Jupiter, D., Redett, D., Multipliers on Dirichlet type spaces, Acta Sci. Math. 72 (2006), 179-203. (2006) Zbl1174.46320MR2249487
- Lin, H., 10.3906/mat-1603-134, Turk. J. Math. 42 (2018), 227-242. (2018) Zbl1424.47069MR3762760DOI10.3906/mat-1603-134
- Lu, Y., Zhou, X., 10.2969/jmsj/06230745, J. Math. Soc. Japan 62 (2010), 745-765. (2010) Zbl1202.47008MR2648061DOI10.2969/jmsj/06230745
- Shi, Y., Lu, Y., 10.4134/BKMS.2013.50.2.687, Bull. Korean Math. Soc. 50 (2013), 687-696. (2013) Zbl1280.47039MR3137713DOI10.4134/BKMS.2013.50.2.687
- Stessin, M., Zhu, K., 10.1090/S0002-9939-02-06382-7, Proc. Am. Math. Soc. 130 (2002), 2631-2639. (2002) Zbl1035.47015MR1900871DOI10.1090/S0002-9939-02-06382-7
- Zhou, X., Shi, Y., Lu, Y., 10.1360/012010-627, Sci. Sin., Math. 41 (2011), 427-438. (2011) MR2648061DOI10.1360/012010-627
- Zhu, K., 10.1112/S0024610700001198, J. Lond. Math. Soc., II. Ser. 62 (2000), 553-568. (2000) Zbl1158.47309MR1783644DOI10.1112/S0024610700001198
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.