Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function

Yulmukhametov's result concerning the approximation of a function subharmonic in a bounded domain by the logarithm of the modulus of an analytic function is supplemented with an estimate of the exceptional set in the important case of a disk. We show that this approximation is unimprovable...

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Bibliographic Details
Date:1994
Main Authors: Girnyk, M. A., Гирнык, М. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5661
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:Yulmukhametov's result concerning the approximation of a function subharmonic in a bounded domain by the logarithm of the modulus of an analytic function is supplemented with an estimate of the exceptional set in the important case of a disk. We show that this approximation is unimprovable in a certain sense.