Abstract:
This brief communication contains estimates for the zero divisors of holomorphic functions from weight classes in terms of subharmonic real test functions.
Citation:
E. B. Menshikova, B. N. Khabibullin, “On the Distribution of Zero Sets of Holomorphic Functions. II”, Funktsional. Anal. i Prilozhen., 53:1 (2019), 84–87
\Bibitem{MenKha19}
\by E.~B.~Menshikova, B.~N.~Khabibullin
\paper On the Distribution of Zero Sets of Holomorphic Functions. II
\jour Funktsional. Anal. i Prilozhen.
\yr 2019
\vol 53
\issue 1
\pages 84--87
\mathnet{http://mi.mathnet.ru/faa3592}
\crossref{https://doi.org/10.4213/faa3592}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3909122}
\elib{https://elibrary.ru/item.asp?id=37045029}
Linking options:
https://www.mathnet.ru/eng/faa3592
https://doi.org/10.4213/faa3592
https://www.mathnet.ru/eng/faa/v53/i1/p84
This publication is cited in the following 7 articles:
B. N. Khabibullin, “Poisson–Jensen formulas and balayage of measures”, Eurasian Math. J., 12:4 (2021), 53–73
B. N. Khabibullin, E. B. Menshikova, “Balayage of measures with respect to polynomials and logarithmic kernels on the complex plane”, Lobachevskii J. Math., 42:12 (2021), 2823–2833
B. N. Khabibullin, F. B. Khabibullin, “Necessary and sufficient conditions for zero subsets of holomorphic functions with upper constraints in planar domains”, Lobachevskii J. Math., 42:4, SI (2021), 800–810
E. B. Menshikova, B. N. Khabibullin, “A criterion for the sequence of roots of holomorphic function with restrictions on its growth”, Russian Math. (Iz. VUZ), 64:5 (2020), 49–55
B. N. Khabibullin, “Balayage of measures with respect to (sub-)harmonic functions”, Lobachevskii J. Math., 41:11, SI (2020), 2179–2189
B. N. Khabibullin, F. B. Khabibullin, “K raspredeleniyu nulevykh mnozhestv golomorfnykh funktsii. III. Teoremy obrascheniya”, Funkts. analiz i ego pril., 53:2 (2019), 42–58
B. N. Khabibullin, F. B. Khabibullin, “On the Distribution of Zero Sets of Holomorphic Functions: III. Converse Theorems”, Funct Anal Its Appl, 53:2 (2019), 110
Citation in format AMSBIB
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