Holomorphic minorants of (pluri-)subharmonic functions

2015/06/04 by Б. Н. Хабибуллин, Khabibullin, Bulat, Timur Baiguskarov +1
Mathematics · #30D20 #31A05 #31C10 #32A10 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1506.01746

openalex publication_date 2015/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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