Subharmonic test functions and the distribution of zero sets of holomorphic functions
- Authors: Khabibullin B.N.1, Tamindarova N.R.1
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Affiliations:
- Bashkir State University, Ufa
- Issue: Vol 38, No 1 (2017)
- Pages: 38-43
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198610
- DOI: https://doi.org/10.1134/S1995080217010115
- ID: 198610
Cite item
Abstract
Let m, n ≥ 1 are integers and D be a domain in the complex plane ℂ or in the m-dimensional real space ℝm. We build positive subharmonic functions on a part of D vanishing on the boundary ∂D of domain D. We use such (test) functions to study the distribution of zero sets of holomorphic functions f on D ⊂ ℂn with restrictions on the growth of f near the boundary ∂D.
About the authors
B. N. Khabibullin
Bashkir State University, Ufa
Author for correspondence.
Email: Khabib-Bulat@mail.ru
Russian Federation, ul. Z. Validi 32, Republic of Bashkortostan
N. R. Tamindarova
Bashkir State University, Ufa
Email: Khabib-Bulat@mail.ru
Russian Federation, ul. Z. Validi 32, Republic of Bashkortostan