On the uniform estimate in the Calabi-Yau theorem. II (Q763639)
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scientific article; zbMATH DE number 6019616
| Language | Label | Description | Also known as |
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| English | On the uniform estimate in the Calabi-Yau theorem. II |
scientific article; zbMATH DE number 6019616 |
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On the uniform estimate in the Calabi-Yau theorem. II (English)
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29 March 2012
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The author extends his simplified a priori \(L^{\infty }\) estimates for the complex Monge-Ampère equation on compact manifolds [Sci. China, Ser. A 48, Suppl., 244--247 (2005; Zbl 1128.32025)] from Kähler to Hermitian case. It says that the solutions are bounded if the right hand side is in \(L^p \), \(p>1\). The first proof is due to \textit{S. Dinew} and \textit{S. Kołodziej} [``Pluripotential estimates on compact Hermitian manifolds '', \url{arXiv:0910.3937}].
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complex Monge-Ampère operator
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Hermitian manifolds
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