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Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions

We consider the pointwise approximation of a subharmonic function having ¯nite order by the logarithm of the modulus of an function up to a bounded quantity. We prove an estimate from below of the planar Lebesgue measure of the exceptional Set in such approximation.

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Bibliographic Details
Published in:Журнал математической физики, анализа, геометрии
Date:2009
ISSN:1812-9471
Main Author: Girnyk, M.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2009
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/106547
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions / M. Girnyk // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 347-358. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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