Approximation of subharmonic functions in the unit disk

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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.
25 pages

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Complex Variables, 31A05; 30E10

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http://salesiana.dossiersoluciones.com/handle/123456789/164311

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.0856
 http://arxiv.org/abs/0807.0856
 J. Math. Physics, Analysis, Geometry, 4 (2008), no.2, 211-236

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arXiv