Uniqueness theorem and subharmonic test function

DOI10.1090/spmj/1547zbMath1421.32004OpenAlexW2914535447WikidataQ128311740 ScholiaQ128311740MaRDI QIDQ3120549

A. P. Rozit, Z. F. Abdullina, Bulat N. Khabibullin

Publication date: 5 March 2019

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1547

zbMATH Keywords

uniquenessholomorphic functionsRiesz measureHausdoroff measuresubharmonic test functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Holomorphic functions of several complex variables (32A10) Plurisubharmonic functions and generalizations (32U05)

Related Items

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

Cites Work

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• Zero sets of holomorphic functions in the unit ball with slow growth
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