2017
Том 69
№ 9

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

Girnyk M. A.

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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.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 8, pp 1188-1192.

Citation Example: Girnyk M. A. Approximation of functions subharmonic in a disk by the logarithm of the modulus of an analytic function // Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 1080–1083.

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