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Complex Monge-Ampère Measures of Plurisubharmonic Functions with Bounded Values Near the Boundary

Published online by Cambridge University Press:  20 November 2018

Yang Xing
Yang Xing*
Affiliation:
Department of Mathematics, University of Umeå, S-901 87 Umeå, Sweden email: Yang.Xing@mathdept.umu.se
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Abstract

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We give a characterization of bounded plurisubharmonic functions by using their complex Monge-Ampère measures. This implies a both necessary and sufficient condition for a positive measure to be complex Monge-Ampère measure of some bounded plurisubharmonic function.

Keywords

32F0732F05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 52 , Issue 5 , 01 October 2000 , pp. 1085 - 1100
Copyright
Copyright © Canadian Mathematical Society 2000

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