REDUCING SUBSPACES FOR TOEPLITZ OPERATORS ON THE POLYDISK

Title & Authors
REDUCING SUBSPACES FOR TOEPLITZ OPERATORS ON THE POLYDISK
Shi, Yanyue; Lu, Yufeng;

Abstract
In this note, we completely characterize the reducing subspaces of $\small{T_{{z^N_1}{z^M_2}}}$ on $\small{A^2_{\alpha}(D^2)}$ where $\small{{\alpha}}$ > -1 and N, M are positive integers with $\small{N{\neq}M}$, and show that the minimal reducing subspaces of $\small{T_{{z^N_1}{z^M_2}}}$ on the unweighted Bergman space and on the weighted Bergman space are different.
Keywords
Toeplitz operator;reducing subspace;Bergman space;
Language
English
Cited by
1.
REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK,;;;

대한수학회보, 2015. vol.52. 5, pp.1649-1660
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REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK, Bulletin of the Korean Mathematical Society, 2015, 52, 5, 1649
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