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Convergence in Capacity

  Published:2011-04-25
 Printed: Jun 2012
  • Urban Cegrell,
    Department of Mathematics and Mathematical Statistics, Umeå University, SE-901 87 Umeå, Sweden
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Abstract

In this note we study the convergence of sequences of Monge-Ampère measures $\{(dd^cu_s)^n\}$, where $\{u_s\}$ is a given sequence of plurisubharmonic functions, converging in capacity.
Keywords: complex Monge-Ampère operator, convergence in capacity, plurisubharmonic function complex Monge-Ampère operator, convergence in capacity, plurisubharmonic function
MSC Classifications: 32U20, 31C15 show english descriptions Capacity theory and generalizations
Potentials and capacities
32U20 - Capacity theory and generalizations
31C15 - Potentials and capacities
 

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