Geodesic
Planar Lebesgue measure of exceptional set in approximation of subharmonic functions
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (2009), pp. 347-358

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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. 
@article{JMAG_2009_5_a1,
     author = {Markiyan Girnyk},
     title = {Planar {Lebesgue} measure of exceptional set in approximation of subharmonic functions},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {347--358},
     publisher = {mathdoc},
     volume = {5},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2009_5_a1/}
}
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Markiyan Girnyk. Planar Lebesgue measure of exceptional set in approximation of subharmonic functions. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (2009), pp. 347-358. http://geodesic.mathdoc.fr/item/JMAG_2009_5_a1/