Skip to main content
Log in

Generalized Lindelöf Finiteness Conditions for the λ-Type of a Subharmonic Function

  • Published:
Ukrainian Mathematical Journal Aims and scope

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. D. Drasin and D. Shea, “Pólya peaks and oscillation of positive functions,” Proc. Amer. Math. Soc., 34, No. 2, 403–411 (1972).

    Google Scholar 

  2. 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.

    Google Scholar 

  3. P. Noverraz, “Fonctions plurisousharmoniques et analytiques dans les espaces vectoriels topologiques complexes,” Ann. Inst. Fourier, 19, No. 2, 419–493 (1969).

    Google Scholar 

  4. E. Lindelöf, “Sur les fonctions entieres d'ordre entier,” Ann. Sci. École Norm. Supér., 22, 365–395 (1905).

    Google Scholar 

  5. 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).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020150916036

Keywords

Navigation