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Logarithms of moduli of entire functions are nowhere dense in the space of plurisubharmonic functions

We prove that the set of logarithms of moduli of entire functions of several complex variables is nowhere dense in the space of plurisubharmonic functions equipped with a topology that is a generalization of the topology of uniform convergence on compact sets. This topology is generated by a metric...

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Bibliographic Details
Date:	2008
Main Authors:	Girnyk, M. A., Гирнык, М. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3274
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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