REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK

Title & Authors
REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK
ALBASEER, MOHAMMED; LU, YUFENG; SHI, YANYUE;

Abstract
In this paper, we completely characterize the nontrivial reducing subspaces of the Toeplitz operator $\small{T{_{z{^N_1{\bar{z}}^M_2}}}$ on the Bergman space $\small{A^2(\mathbb{D}^2)}$, where N and M are positive integers.
Keywords
reducing subspace;Toeplitz operator;polydisk;
Language
English
Cited by
1.
Reducing subspaces for a class of non-analytic Toeplitz operators on the bidisk, Journal of Mathematical Analysis and Applications, 2017, 445, 1, 784
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