Bull. Korean Math. Soc. 2015; 52(5): 1649-1660
Printed September 30, 2015
https://doi.org/10.4134/BKMS.2015.52.5.1649
Copyright © The Korean Mathematical Society.
Mohammed Albaseer, Yufeng Lu, and Yanyue Shi
Dalian University of Technology, Dalian University of Technology, Ocean University of China
In this paper, we completely characterize the nontrivial reducing subspaces of the Toeplitz operator $T_{z_{1}^{N}\overline{z}_{2}^{M}}$ on the Bergman space $A^{2}(\mathbb{D}^2)$, where $N$ and $M$ are positive integers.
Keywords: reducing subspace, Toeplitz operator, polydisk
MSC numbers: Primary 47B35, 46E22
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