Some properties of the complex Monge-Ampere operator in Cegrell's classes and applications

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In this article we will first prove a result about convergence in capacity. Using the achieved result we will obtain a general decompositon theorem for complex Monge-Ampere measues which will be used to prove a comparison principle for the complex Monge-Ampere operator.
19 pages

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Complex Variables, 32U15; 32W20

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http://salesiana.dossiersoluciones.com/handle/123456789/126610

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.0359
 http://arxiv.org/abs/0704.0359

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arXiv