Abstract
We establish a finiteness criterion for the λ-type of a subharmonic function. In the case where λ(r) = r ρ L(r), ρ, where L is a slowly varying function, this criterion coincides with the Lindelöf criterion.
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REFERENCES
D. Drasin and D. Shea, “Pólya peaks and oscillation of positive functions,” Proc. Amer. Math. Soc., 34, No. 2, 403–411 (1972).
A. A. Gol'dberg, B. Ya. Levin, and I. V. Ostrovskii, “Entire and meromorphic functions,” in: VINITI Series in Contemporary Problems in Mathematics. Fundamental Trends [in Russian], Vol. 85, VINITI, Moscow (1991), pp. 5–186.
P. Noverraz, “Fonctions plurisousharmoniques et analytiques dans les espaces vectoriels topologiques complexes,” Ann. Inst. Fourier, 19, No. 2, 419–493 (1969).
E. Lindelöf, “Sur les fonctions entieres d'ordre entier,” Ann. Sci. École Norm. Supér., 22, 365–395 (1905).
Ya. V. Vasyl'kiv, “On some properties of δ-subharmonic functions of finite λ-type,” Visn. L'viv. Univ., Ser. Mekh.-Mat., 21, 14–21 (1983).
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Vasyl'kiv, Y.V., Kondratyuk, A.A. Generalized Lindelöf Finiteness Conditions for the λ-Type of a Subharmonic Function. Ukrainian Mathematical Journal 54, 340–344 (2002). https://doi.org/10.1023/A:1020150916036
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DOI: https://doi.org/10.1023/A:1020150916036