Article
Norming Sets on a Compact Complex Manifold
Author/s | Aguilar-Hernández, Tanausú |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Publication Date | 2019-07 |
Deposit Date | 2024-09-24 |
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Abstract | We describe the norming sets for the space of global holomorphic sections to a kpower of a positive holomorphic line bundle on a compact complex manifold X. We
characterize in metric terms the sequence of measurable subsets ... We describe the norming sets for the space of global holomorphic sections to a kpower of a positive holomorphic line bundle on a compact complex manifold X. We characterize in metric terms the sequence of measurable subsets {Gk }k of X such that there is a constant C > 0 where s2 ≤ C Gk |s(z)| 2 dV(z) for every s ∈ H0(X, O(L⊗k )) and for all k ∈ N. |
Citation | Aguilar-Hernández, T. (2019). Norming Sets on a Compact Complex Manifold. The Journal of Geometric Analysis, 29, 2068-2081. https://doi.org/10.1007/s12220-018-0071-x. |
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