Bergman Kernel Estimates and Toeplitz Operators on Holomorphic Line Bundles

Abstract

We characterize operator-theoretic properties<br />(boundedness, compactness, and Schatten class membership) of Toeplitz<br />operators with positive measure symbols on Bergman spaces of holomorphic hermitian line bundles over<span> <span>Kähler</span></span> Cartan-Hadamard manifolds in terms of geometric or operator-theoretic properties of measures.