Finite Pluricomplex Energy Measures

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.

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Bibliographic Details
Published in:Potential analysis 2016-01, Vol.44 (1), p.155-167
Main Author: Di Nezza, Eleonora
Format: Article
Language:English
Subjects:
Functional Analysis
Geometry
Mathematics
Mathematics and Statistics
Potential Theory
Probability Theory and Stochastic Processes
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Description
Summary: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.
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-015-9503-4