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

Authors

  • M. A. Girnyk

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.

Published

25.08.1994

Issue

Section

Short communications

How to Cite

Girnyk, M. A. “Approximation of Functions Subharmonic in a Disk by the Logarithm of the Modulus of an Analytic Function”. Ukrains’kyi Matematychnyi Zhurnal, vol. 46, no. 8, Aug. 1994, pp. 1080–1083, https://umj.imath.kiev.ua/index.php/umj/article/view/5661.