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Matematicheskie Zametki, 2005, Volume 78, Issue 4, Pages 483–492
DOI: https://doi.org/10.4213/mzm2610
(Mi mzm2610)
 

Approximation of Subharmonic Functions in the Half-Plane by the Logarithm of the Modulus of an Analytic Function

M. A. Hirnyk

Lviv Academy of Commerce
References:
Abstract: We approximate subharmonic functions defined in the open half-plane in the uniform metric outside the exceptional set by the logarithm of the modulus of an analytic (in the half-plane) function for the cases of a finite order and of an infinite lower order. We also obtain an estimate for the size of the exceptional set. It is shown that, in the case of a finite order, the obtained accuracy of the approximation cannot be essentially improved.
Received: 16.01.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 4, Pages 447–455
DOI: https://doi.org/10.1007/s11006-005-0145-5
Bibliographic databases:
UDC: 517.538+517.574
Language: Russian
Citation: M. A. Hirnyk, “Approximation of Subharmonic Functions in the Half-Plane by the Logarithm of the Modulus of an Analytic Function”, Mat. Zametki, 78:4 (2005), 483–492; Math. Notes, 78:4 (2005), 447–455
Citation in format AMSBIB
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