Bergman Kernel Estimates and Toeplitz Operators on Holomorphic Line Bundles

Document Type: Original Article

Author

Ibn tofail University, Faculty of Sciences, Department of Mathematics, P.O.Box 242, Kenitra, Morocco.

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 Kähler Cartan-Hadamard manifolds in terms of geometric or operator-theoretic properties of measures.

Keywords

Main Subjects