Toeplitz operators on harmonically weighted Bergman spaces and applications to composition operators on Dirichlet spaces
2018
Abstract In this paper we consider Toeplitz operators acting on Bergman spaces associated with harmonic weights. We give a complete description of those operators which belong to p -Schatten classes. We also obtain an upper estimate for the reproducing kernel of these spaces. Applications to composition operators on Dirichlet spaces are given.
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