Transactions of the American Mathematical Society

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

Author(s): Nguyen Van Khue; Pham Hoang Hiep
Journal: Trans. Amer. Math. Soc. 361 (2009), 5539-5554.
MSC (2000): Primary 32W20; Secondary 32U15
Posted: May 15, 2009
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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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Nguyen Van Khue
Affiliation: Department of Mathematics, Hanoi University of Education, Dai hoc Su Pham Hanoi, Cau Giay, Hanoi, Vietnam

Pham Hoang Hiep
Affiliation: Department of Mathematics, Hanoi University of Education, Dai hoc Su Pham Hanoi, Cau Giay, Hanoi, Vietnam
Email: phhiep_vn@yahoo.com

DOI: 10.1090/S0002-9947-09-04730-8
PII: S 0002-9947(09)04730-8
Keywords: Complex Monge-Amp\`ere operator, plurisubharmonic function
Received by editor(s): December 29, 2006
Received by editor(s) in revised form: January 3, 2008
Posted: May 15, 2009
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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