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Eurasian Mathematical Journal, 2012, Volume 3, Number 1, Pages 97–109 (Mi emj77)  
Definition of the complex Monge-Ampère operator for arbitrary plurisubharmonic functions

A. Sadullaev

National University of Uzbekistan, 100174 Tashkent, Uzbekistan
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Abstract: In this paper we consider the problem of definition of the Monge-Ampère operator for an arbitrary plurisubharmonic function. The paper has a survey character; in it we discuss on the results related to this area. We give one construction of the definition of the Monge-Ampère operator, which will then be applied to maximal plurisubharmonic functions.
Keywords and phrases: plurisubharmonic functions, Green function, maximal function, Monge-Ampère operator, extremal function.
Received: 21.11.2011
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Document Type: Article
MSC: 32U05, 32U15
Language: English
Citation: A. Sadullaev, “Definition of the complex Monge-Ampère operator for arbitrary plurisubharmonic functions”, Eurasian Math. J., 3:1 (2012), 97–109
Citation in format AMSBIB
\Bibitem{Sad12}
\by A.~Sadullaev
\paper Definition of the complex Monge-Amp\`ere operator for arbitrary plurisubharmonic functions
\jour Eurasian Math. J.
\yr 2012
\vol 3
\issue 1
\pages 97--109
\mathnet{http://mi.mathnet.ru/emj77}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3024112}
\zmath{https://zbmath.org/?q=an:06181792}
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