Approximation of subharmonic functions

Details Approximation of subharmonic functions Approximation of subharmonic functions

2008-07-13

arxiv.org/abs/0807.2052v1

St .Petersburg Math. J. 16 (2005), No.3, 591-607

Mathematics

Complex Variables

28 pages

Scientific paper

In certain classes of subharmonic functions u on C distinguished in terms of
lower bounds for the Riesz measure of u, a sharp estimate is obtained for the
rate of approximation by functions of the form log |f(z)|, where f is an entire
function. The results complement and generalize those recently obtained by Yu.
Lyubarskii and Eu. Malinnikova.

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