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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
 MSC Classifications: 32U20 - Capacity theory and generalizations 31C15 - Potentials and capacities

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