Abstract
In this paper, we construct the function u in L2(\(\mathbb{B}_n \), dA) which is unbounded on any neighborhood of each boundary point of \(\mathbb{B}_n \) such that Tu is the Schatten p-class (0 < p < ∞) operator on pluriharmonic Bergman space h2(\(\mathbb{B}_n \), dA) for several complex variables. In addition, we also discuss the compactness of Toeplitz operators with L1 symbols.
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