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

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Ukrainian Mathematical Journal Aims and scope

Abstract

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.

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References

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Authors and Affiliations

  1. Lvov Trade Institute, Lvov

    M. A. Girnyk

Authors
  1. M. A. Girnyk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 8, pp. 1080–1083, August, 1994.

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Girnyk, M.A. Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function. Ukr Math J 46, 1188–1192 (1994). https://doi.org/10.1007/BF01056179

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  • DOI: https://doi.org/10.1007/BF01056179

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