Schatten \(p\)-class Toeplitz operators with unbounded symbols an pluriharmonic Bergman space (Q383661)

The Toeplitz operators on Bergman spaces are well-known. In this paper, for the first time, a function \(u\), square integrable on the open unit ball in \(\mathbb{C}^n\) is constructed, such that \(T_u\) is the Schatten \(p\)-class (\(0<p<\infty\)) operator on the corresponding pluriharmonic Bergman space. The conditions for compactness of these Toeplitz operators on \(L^1\) functions is also discussed.