Invariant subspaces and reducing subspaces of weighted Bergman space over bidisk
Yufeng LU and Xiaoyang ZHOU
Source: J. Math. Soc. Japan Volume 62, Number 3
(2010), 745-765.
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 is completely described, and Beurling-type theorem of some invariant subspace of the weighted Bergman space over bidisk is also obtained.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1280496818
Digital Object Identifier: doi:10.2969/jmsj/06230745
Zentralblatt MATH identifier: 05786469
Mathematical Reviews number (MathSciNet): MR2648061
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