@article { author = {Asserda, Said}, title = {Bergman Kernel Estimates and Toeplitz Operators on Holomorphic Line Bundles}, journal = {Khayyam Journal of Mathematics}, volume = {2}, number = {2}, pages = {128-167}, year = {2016}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2016.41044}, abstract = {We characterize operator-theoretic properties(boundedness, compactness, and Schatten class membership) of Toeplitzoperators 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 = {Toeplitz operator,Bergman space,line bundle,Schatten class}, url = {https://www.kjm-math.org/article_41044.html}, eprint = {https://www.kjm-math.org/article_41044_b5937b35de5448dcc44be7f472ebe59c.pdf} }