Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions

Автор(и)

  • Markiyan Girnyk Lviv Academy of Commerce, 8 Tuhan-Baranovskyi Str., Lviv, 79005, Ukraine

Ключові слова:

subharmonic functions, entire functions, approximation

Анотація

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.

Mathematics Subject Classification: 31C05, 30E10

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Як цитувати

(1)
Girnyk, M. Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions. Журн. мат. фіз. анал. геом. 2009, 5, 347-358.

Номер

Том 5 № 4 (2009)

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