Choquet-Monge-Ampère Classes

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• 作者：Vincent Guedj ; Sibel Sahin ; Ahmed Zeriahi
• 关键词：Choquet classes ; Finite energy classes ; Monge ; Ampère capacity ; Complex Monge ; Ampère equations
• 刊名：Potential Analysis
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：46
• 期：1
• 页码：149-165
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Potential Theory; Probability Theory and Stochastic Processes; Geometry; Functional Analysis;
• 出版者：Springer Netherlands
• ISSN：1572-929X
• 卷排序：46

文摘

We introduce and study Choquet-Monge-Ampère classes on compact Kähler manifolds. They consist of quasi-plurisubharmonic functions whose sublevel sets have small enough asymptotic Monge-Ampère capacity. We compare them with finite energy classes, which have recently played an important role in Kähler Geometry.