Bergman kernel estimates and Toeplitz operators on holomorphic line bundles
Complex Variables
2017-07-07 v1 Functional Analysis
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.
Cite
@article{arxiv.1707.01722,
title = {Bergman kernel estimates and Toeplitz operators on holomorphic line bundles},
author = {Said Asserda},
journal= {arXiv preprint arXiv:1707.01722},
year = {2017}
}