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.
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Submitted by F. G. Avkhadiev
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Khabibullin, B.N., Tamindarova, N.R. Subharmonic test functions and the distribution of zero sets of holomorphic functions. Lobachevskii J Math 38, 38–43 (2017). https://doi.org/10.1134/S1995080217010115
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DOI: https://doi.org/10.1134/S1995080217010115