Finite Pluricomplex Energy Measures

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• 作者：Eleonora Di Nezza
• 关键词：Kaehler manifold ; Plurisubharmonic functions ; Non ; pluripolar product ; Monge ; Ampère energy classes ; 32W20 ; 58A25 ; 53C55
• 刊名：Potential Analysis
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：44
• 期：1
• 页码：155-167
• 全文大小：297 KB
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• 作者单位：Eleonora Di Nezza (1)
  
  1. Department of Mathematics, Imperial College London, London, SW7 2AZ, UK
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Potential Theory
  Probability Theory and Stochastic Processes
  Geometry
  Functional Analysis
  
• 出版者：Springer Netherlands
• ISSN：1572-929X

文摘

We investigate probability measures with finite pluricomplex energy. We give criteria insuring that a given measure has finite energy and test these on various examples. We show that this notion is a biholomorphic but not a bimeromorphic invariant. Keywords Kaehler manifold Plurisubharmonic functions Non-pluripolar product Monge-Ampère energy classes