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Convergence in Capacity

Published online by Cambridge University Press:  20 November 2018

Urban Cegrell
Urban Cegrell*
Affiliation:
Department of Mathematics and Mathematical Statistics, Umeå University, SE-901 87 UmeÅ, Swedene-mail: Urban.Cegrell@math.umu.se
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Abstract

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In this note we study the convergence of sequences of Monge–Ampère measures $\{{{(d{{d}^{c}}{{u}_{s}})}^{n}}\}$, where $\{{{u}_{s}}\}$ is a given sequence of plurisubharmonic functions, converging in capacity.

Keywords

32U2031C15complex Monge–Ampère operatorconvergence in capacityplurisubharmonic function
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 2 , 01 June 2012 , pp. 242 - 248
Copyright
Copyright © Canadian Mathematical Society 2012

References

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