Abstract
For an arbitrary subharmonic function not identically equal to −∞ in a domain D of the complex plane C, we prove the existence of a nonzero holomorphic function in D the logarithm of whose modulus is majorized by locally averaging a subharmonic function with logarithmic additions or even without them in the case D = C.
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Original Russian Text © B. N. Khabibullin, T. Yu. Baiguskarov, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 4, pp. 588–602.
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Khabibullin, B.N., Baiguskarov, T.Y. The logarithm of the modulus of a holomorphic function as a minorant for a subharmonic function. Math Notes 99, 576–589 (2016). https://doi.org/10.1134/S0001434616030317
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DOI: https://doi.org/10.1134/S0001434616030317