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 Jensen Multifunctions in Complex Analysis. Continuity of Plurisubharmonic Envelopes
Наименование:

Jensen Multifunctions in Complex Analysis. Continuity of Plurisubharmonic Envelopes

автор NIHAT G. издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 76        мягкая обложка       
Аннотация:It should be noted that different classes of plurisubharmonic functions generate different Jensen measures. In particular, they are used in Perron-Bremermann method to solve the Dirichlet problem: find a homogeneous solution of the Monge-Ampere operator with continuous boundary data. The envelopes of functions play essential role in pluripotential theory. We treat these classes of Jensen measures as multifunctions. To characterize domains where continuous functions have continuous envelopes we use the notion of Jensen measures. As it happens the continuity of envelopes is a consequence of such geometric properties of these multifunctions as upper and lower semicontinuity. These measures recently attracted the attention of quite a number of mathematicians. So it is important to classify those domains where the solution is also continuous. This work will be of interest for people who work on complex analysis of several variables, especially on pluripotential theory.
Автор: NIHAT G.
Издательство: Книга по Требованию
Год:2009
Цена:
1996 руб
Нет в наличии
Поиск: Jensen Multifunctions in Complex Analysis. Continuity of Plurisubharmonic Envelopes



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