Holomorphic minorants of (pluri-)subharmonic functions

Bulat Khabibullin; Timur Baiguskarov

Holomorphic minorants of (pluri-)subharmonic functions

Complex Variables 2016-05-13 v3

Authors: Bulat Khabibullin , Timur Baiguskarov

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

Keywords

plurisubharmonic function holomorphic minorant local averages complex analysis subharmonic function

Cite

@article{arxiv.1506.01746,
  title  = {Holomorphic minorants of (pluri-)subharmonic functions},
  author = {Bulat Khabibullin and Timur Baiguskarov},
  journal= {arXiv preprint arXiv:1506.01746},
  year   = {2016}
}

Comments

4 pages, abstract for scientific conference "Algebra, Analysis and Related Problems of Mathematical Modeling" (Vladikavkaz, June 26-27, 2015)

Holomorphic minorants of (pluri-)subharmonic functions

Abstract

Keywords

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