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.

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Khayyam Journal of Mathematics
Volume 2, Issue 2 - Serial Number 2
August 2016
Pages 128-167

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