Schatten p -class Toeplitz operators with unbounded symbols on pluriharmonic Bergman space

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.