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

• Date: 1994
• Main Authors: Girnyk, M. A., Гирнык, М. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5661
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...