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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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


Authors: Nguyen Van Khue and Pham Hoang Hiep
Journal: Trans. Amer. Math. Soc. 361 (2009), 5539-5554
MSC (2000): Primary 32W20; Secondary 32U15
Published electronically: 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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Additional Information

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: http://dx.doi.org/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
Published electronically: May 15, 2009
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.