Subharmonic test functions and the distribution of zero sets of holomorphic functions

DOI10.1134/S1995080217010115zbMath1367.31002arXiv1606.06714OpenAlexW2962759903MaRDI QIDQ2628631

N. R. Tamindarova, Bulat N. Khabibullin

Publication date: 2 June 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06714

zbMATH Keywords

convex functionholomorphic functionsubharmonic functionRiesz measurezero set

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (8)

Subharmonic test functions and the distribution of zero sets of holomorphic functions ⋮ On the distribution of zero sets of holomorphic functions ⋮ Preorders on subharmonic functions and measures with applications to the distribution of zeros of holomorphic functions ⋮ On a Blaschke-Type Condition for Subharmonic Functions with Two Sets of Singularities on the Boundary ⋮ Zeros of holomorphic functions in the unit disk and \(\rho \)-trigonometrically convex functions ⋮ On the distribution of zero sets of holomorphic functions. III: Converse theorems ⋮ Zeros of holomorphic functions in the unit ball and subspherical functions ⋮ Uniqueness theorem and subharmonic test function

Cites Work

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• Subharmonic test functions and the distribution of zero sets of holomorphic functions
• Uniqueness Theorems for Subharmonic and Holomorphic Functions of Several Variables on a Domain
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
• Notions of convexity

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