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Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions

We construct different extensions of functions subharmonic in a half plane to the whole plane. The results obtained are applied to the approximation of subharmonic functions of finite order in a half plane by the logarithm of the modulus of an entire function. It is shown that the problem of extensi...

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Bibliographic Details
Date:	1994
Main Authors:	Rashkovskii, A. Yu., Ronkin, L. I., Рашковський, А. Ю., Ронкін, Л. І.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1994
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5655
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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