Abstract
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
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