Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2009, Volume 5, Number 4, Pages 347–358 (Mi jmag131)  
This article is cited in 1 scientific paper (total in 1 paper)

Planar Lebesgue measure of exceptional set in approximation of subharmonic functions

Markiyan Girnyk

Lviv Academy of Commerce, 8 Tuhan-Baranovskyi Str., Lviv, 79005, Ukraine
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Abstract: We consider the pointwise approximation of a subharmonic function having finite 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.
Key words and phrases: subharmonic functions, entire functions, approximation.
Received: 17.11.2008
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Document Type: Article
MSC: 31C05, 30E10
Language: English
Citation: Markiyan Girnyk, “Planar Lebesgue measure of exceptional set in approximation of subharmonic functions”, Zh. Mat. Fiz. Anal. Geom., 5:4 (2009), 347–358
Citation in format AMSBIB
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\by Markiyan Girnyk
\paper Planar Lebesgue measure of exceptional set in approximation of subharmonic functions
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2009
\vol 5
\issue 4
\pages 347--358
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