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

  Published:2000-10-01
 Printed: Oct 2000
Canadian Journal of Mathematics
  • Yang Xing
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Abstract

We give a characterization of bounded plurisubharmonic functions by using their complex Monge-Amp\`ere measures. This implies a both necessary and sufficient condition for a positive measure to be complex Monge-Amp\`ere measure of some bounded plurisubharmonic function.
MSC Classifications: 32F07, 32F05 show english descriptions unknown classification 32F07
unknown classification 32F05 32F07 - unknown classification 32F07
32F05 - unknown classification 32F05
 
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