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Bergman kernel estimates and Toeplitz operators on holomorphic line bundles (1707.01722v1)
Published 6 Jul 2017 in math.CV and math.FA
Abstract: We characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on Bergman spaces of holomorphic hermitian line bundles over K\"ahler Cartan-Hadamard manifolds in terms of geometric or operator-theoretic properties of measures.