Global and local definition of the Monge-Amp猫re operator on compact K盲hler manifolds

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• 作者：Le Mau Hai^a ; ^{mauhai@fpt.vn} ; Pham Hoang Hiep^a ; ^{phhiep_vn@yahoo.com} ; Nguyen Van Phu^b ; ^{ltphudk@gmail.com}
• 刊名：Comptes Rendus Mathematique
• 出版年：2012
• 期刊代码：64_1631073x
• 类别：mt
• 出版时间：February, 2012
• 卷：350
• 期：3-4
• 页码：153-156
• 文件大小：150 K

摘要

The aim of this Note is to give a sufficient condition in order for a function in the global domain of definition of the Monge-Amp猫re operator not to belong to the local domain of the former in the sense of Cegrell, when one looks at the n-dimensional complex projective space. Using this result, we show that the subsolution theorem is false for functions in the local domain of definition of the Monge-Amp猫re operator on such a projective space.