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Eurasian Mathematical Journal, 2012, том 3, номер 1, страницы 97–109
(Mi emj77)
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Definition of the complex Monge-Ampère operator for arbitrary plurisubharmonic functions
A. Sadullaev National University of Uzbekistan,
100174 Tashkent, Uzbekistan
Аннотация:
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.
Ключевые слова и фразы:
plurisubharmonic functions, Green function, maximal function, Monge-Ampère operator, extremal function.
Поступила в редакцию: 21.11.2011
Образец цитирования:
A. Sadullaev, “Definition of the complex Monge-Ampère operator for arbitrary plurisubharmonic functions”, Eurasian Math. J., 3:1 (2012), 97–109
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj77 https://www.mathnet.ru/rus/emj/v3/i1/p97
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Страница аннотации: | 344 | PDF полного текста: | 166 | Список литературы: | 48 |
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