Ukrainian Mathematical Journal

, Volume 46, Issue 8, pp 1188–1192 | Cite as

Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function

  • M. A. Girnyk
Brief Communications


Yulmukhametov's result concerning the approximation of a function subharmonic in a bounded domain by the logarithm of the modulus of an analytic function is supplemented with an estimate of the exceptional set in the important case of a disk. We show that this approximation is unimprovable in a certain sense.


Analytic Function Bounded Domain Important Case 
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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • M. A. Girnyk
    • 1
  1. 1.Lvov Trade InstituteLvov

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