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REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK
ALBASEER, MOHAMMED,LU, YUFENG,SHI, YANYUE Korean Mathematical Society 2015 대한수학회보 Vol.52 No.5
In this paper, we completely characterize the nontrivial reducing subspaces of the Toeplitz operator $T{_{z{^N_1{\bar{z}}^M_2}}$ on the Bergman space $A^2(\mathbb{D}^2)$, where N and M are positive integers.
REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK
Mohammed Albaseer,Yufeng Lu,Yanyue Shi 대한수학회 2015 대한수학회보 Vol.52 No.5
In this paper, we completely characterize the nontrivial reducing subspaces of the Toeplitz operator TzN 1- zM2 on the Bergman space A2(D2), where N and M are positive integers.