English

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

Complex Variables 2007-05-23 v1

Abstract

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.

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Cite

@article{arxiv.0704.0359,
  title  = {Some properties of the complex Monge-Ampere operator in Cegrell's classes and applications},
  author = {Nguyen Van Khue and Pham Hoang Hiep},
  journal= {arXiv preprint arXiv:0704.0359},
  year   = {2007}
}

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19 pages