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arXiv · 0807.0856

Approximation of subharmonic functions in the unit disk

Igor Chyzhykov
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Abstract

Let u be a subharmonic function in D={|z|<1}. There exist an absolute constant C and an analytic function f in D such that \int_D |u(z)-log|f(z)|| dm(z)<C where m denotes the plane Lebesgue measure. We also consider uniform approximation.

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Igor Chyzhykov. 2008-07-05. Approximation of subharmonic functions in the unit disk. https://arxiv.org/abs/0807.0856

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