Sp-class (0 < p < ∞) toeplitz operator with unbounded symbol on dirichlet space

In this paper, we construct a function u in L2,1(n, dA), which is unbounded on any neighborhood of each boundary point of n, such that Toeplitz operator Tu is compact on Dirichlet space (n, dA). Furthermore, Schatten p-class (0 < p < 1) Toeplitz operators on Dirichlet space (n, dA) with unbounded symbols are also obtained. Key words Toeplitz operator; Dirichlet space; Schatten p-class operator