The set of measures given by bounded solutions of the complex Monge-Ampere equation on compact Kahler manifolds

Kolodziej S

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The set of measures given by bounded solutions of the complex Monge-Ampere equation on compact Kahler manifolds

机译：紧致Kahler流形上复Monge-Ampere方程的有界解给出的一组度量

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摘要

Consider the image of the Monge-Ampere operator acting on bounded functions, defined on a compact Kahler manifold, whose sum with the local Kahler potential is plurisubharmonic. It is shown that a nonnegative Borel measure belongs to this image if and only if it belongs to the image locally. In particular, those measures form a convex set.

机译：考虑作用在有界函数上的Monge-Ampere算子的图像，该算子定义在一个紧凑的Kahler流形上，其总和与局部Kahler势为purisubharmonic。结果表明，当且仅当非负Borel度量属于该图像时，该图像才属于该图像。特别地，那些度量形成凸集。

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《The Journal of the London Mathematical Society》 |2005年第1期|共14页
作者
Kolodziej S;
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正文语种 eng
中图分类数学;
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UNIQUENESS; OPERATOR;

机译：唯一性;操作员;

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1. The set of measures given by bounded solutions of the complex Monge-Ampere equation on compact Kahler manifolds [J] . Kolodziej S The Journal of the London Mathematical Society . 2005,第1期

机译：紧致Kahler流形上复Monge-Ampere方程的有界解给出的一组度量
2. Envelope Approach to Degenerate Complex Monge-Ampere Equations on Compact kahler Manifolds [J] . Benelkourchi Slimane Canadian Mathematical Bulletin . 2017,第4期

机译：在Compact Kahler歧管上退化复杂Monge-Ampere方程的信封方法
3. DEGENERATE COMPLEX MONGE-AMPERE EQUATIONS OVER COMPACT KAHLER MANIFOLDS [J] . Demailly JP, Pali N International journal of mathematics . 2010,第3期

机译：紧凑Kahler流形上的简并复杂的AMP方程
4. Weak solutions to the complex Monge-Ampere equation [C] . S?awomir Ko?odziej European Congress of Mathematics . 2013

机译：复杂的Monge-Ampere方程的弱解
5. DEFORMATION OF KAHLER MATRICS TO KAHLER-EINSTEIN METRICS ON COMPACT KAHLER MANIFOLDS (HANACK'S INEQUALITY, HAMILTON'S EQUATION, PARABOLIC MONGE-AMPERE) [D] . CAO, HUAI-DONG. 1986

机译：卡勒斯坦对Compact Kahler歧管的Kahler-Einstein指标的变形（Hanack的不平等，Hamilton等式，抛物线Monge-Ampere）
6. A computational method for the coupled solution of reaction–diffusion equations on evolving domains and manifolds: Application to a model of cell migration and chemotaxis [O] . G. MacDonald, J.A. Mackenzie, M. Nolan, -1

机译：演化域和流形上反应扩散方程耦合解的一种计算方法：在细胞迁移和趋化性模型中的应用
7. Continuity of the Complex Monge-Ampere Operator on Compact Kahler Manifolds [O] . Xing, Yang 2007

机译：紧凑型Kahler上复数monge-ampere算子的连续性阀组

The set of measures given by bounded solutions of the complex Monge-Ampere equation on compact Kahler manifolds

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