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arXiv · 1506.01746

Holomorphic minorants of (pluri-)subharmonic functions

Bulat Khabibullin·Timur Baiguskarov
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Abstract

Let $u$ be a plurisubharmonic function. We prove the existence of a nonzero holomorphic function such that the logarithm of its modulus is not more than local averages of this function $u$. This is the abstract for scientific conference "Algebra, Analysis and Related Problems of Mathematical Modeling" (Vladikavkaz, June 26-27, 2015) dedicated to the 60th anniversary of Professor, Doctor of Physical and Mathematical Sciences Vladimir A. Koibaev

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Bulat Khabibullin, Timur Baiguskarov. 2015-06-04. Holomorphic minorants of (pluri-)subharmonic functions. https://arxiv.org/abs/1506.01746

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