Journal of the Mathematical Society of Japan

Invariant subspaces and reducing subspaces of weighted Bergman space over bidisk

Yufeng LU and Xiaoyang ZHOU

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Abstract

In this paper, we study the invariant subspace and reducing subspace of the weighted Bergman space over bidisk. The minimal reducing subspace of Toeplitz operator T z N = T z 1 N z 2 N is completely described, and Beurling-type theorem of some invariant subspace of the weighted Bergman space over bidisk is also obtained.

Article information

Source
J. Math. Soc. Japan, Volume 62, Number 3 (2010), 745-765.

Dates
First available in Project Euclid: 30 July 2010

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1280496818

Digital Object Identifier
doi:10.2969/jmsj/06230745

Mathematical Reviews number (MathSciNet)
MR2648061

Zentralblatt MATH identifier
1202.47008

Subjects
Primary: 47A15: Invariant subspaces [See also 47A46] 32A35: Hp-spaces, Nevanlinna spaces [See also 32M15, 42B30, 43A85, 46J15]

Keywords
weighted Bergman space bidisk invariant subspace reducing subspace

Citation

LU, Yufeng; ZHOU, Xiaoyang. Invariant subspaces and reducing subspaces of weighted Bergman space over bidisk. J. Math. Soc. Japan 62 (2010), no. 3, 745--765. doi:10.2969/jmsj/06230745. https://projecteuclid.org/euclid.jmsj/1280496818


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References

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Journal of the Mathematical Society of Japan

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