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Some notes on pluriregular condensers - MaRDI portal

Some notes on pluriregular condensers (Q2834125)

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scientific article; zbMATH DE number 6656606
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Some notes on pluriregular condensers
scientific article; zbMATH DE number 6656606

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    25 November 2016
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    plurisubharmonic functions
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    Lelong classes
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    Siciak extremal function
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    Some notes on pluriregular condensers (English)
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    The author introduces the concept of a global pluriregular condenser (Definition 3.1) and applies this to study the approximation of plurisubharmonic functions lying in the well-known Lelong classes in \({\mathbb C}^n\). The organisation of this work follows the lines of the deep paper of \textit{E. A. Poletsky} [Trans. Am. Math. Soc. 355, No. 4, 1579--1591 (2003; Zbl 1023.32020)], where the concept of a pluriregular condenser was introduced and applied to study the approximation of plurisubharmonic functions on a hyperconvex domain.
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