A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications

Khue, Nguyen; Hiep, Pham

doi:10.1090/S0002-9947-09-04730-8

A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
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by Nguyen Van Khue and Pham Hoang Hiep PDF

Trans. Amer. Math. Soc. 361 (2009), 5539-5554 Request permission

Abstract:

In this article we will first prove a result about the convergence in capacity. Next we will obtain a general decomposition theorem for complex Monge-Ampère measures which will be used to prove a comparison principle for the complex Monge-Ampère operator.

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