Abstract
This brief communication contains estimates for the zero divisors of holomorphic functions from weight classes in terms of subharmonic real test functions.
References
B. N. Khabibullin and A. P. Rozit, Funkts. Anal. Prilozhen., 52:1 (2018), 26–42; English transl.: Functional Anal. Appl., 52:1 (2018), 21–34.
W. K. Hayman and P. B. Kennedy, Subharmonic Functions, vol. 1, Acad. Press, London, 1976.
S. J. Gardiner, Harmonic Approximation, Cambridge Univ. Press, Cambridge, 1995.
B. N. Khabibullin, Sibirsk. Mat. Zh., 44:4 (2003), 905–925; English transl.: Siberian Math. J., 44:4 (2003), 713–728.
P. Koosis, The Logarithmic Integral. II, Cambridge Univ. Press, Cambridge, 1992.
B. N. Khabibullin, Izv. Ross. Akad. Nauk, Ser. Mat., 65:5 (2001), 167–190; English transl.: Russian Acad. Sci. Izv. Math., 65:5 (2001), 1017–1039.
B. N. Khabibullin, A. P. Rozit, and E. B. Khabibullina, in: Itogi nauki i tekhniki. Sovremennaya matematika i ee prilozheniya. Tematicheskie obzory [in Russian], VINITI Ross. Akad. Nauk, Moscow, 2019 (in press).
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Khabibullin, B.N., Menshikova, E.B. On the Distribution of Zero Sets of Holomorphic Functions: II. Funct Anal Its Appl 53, 65–68 (2019). https://doi.org/10.1007/s10688-019-0250-y
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DOI: https://doi.org/10.1007/s10688-019-0250-y