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arXiv · 1707.01722

Bergman kernel estimates and Toeplitz operators on holomorphic line bundles

Said Asserda
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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.

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Said Asserda. 2017-07-06. Bergman kernel estimates and Toeplitz operators on holomorphic line bundles. https://arxiv.org/abs/1707.01722

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