Skip to main content
Log in

Asymptotic paths for subharmonic functions

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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.

References

  1. Bieberbach, L.: Lehrbuch der Funktionentheorie, Band II. Berlin-Leipzig: Teubner 1927

    Google Scholar 

  2. Brelot, M., Choquet, G.: Espaces et lignes de Green, Ann. Inst. Fourier3, 199–263 (1951)

    Google Scholar 

  3. Carleson, L.: Asymptotic paths for subharmonic functions inR n, Institut Mittag-Leffler, Report 1. 1974

  4. Fuglede, B.: Connexion en topologie fine et balayage des measures, Ann. Inst. Fourier21 (3), 227–244 (1971)

    Google Scholar 

  5. Fuglede, B.: Finely Harmonic Functions, Lecture Notes in Mathematics289. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  6. Fuglede, B.: Boundary minimum principles in potential theory. Math. Ann.210, 213–226 (1974)

    Google Scholar 

  7. Hayman, W. K.: On the characteristic of functions meromorphic in the unit disc and of their integrals, Acta Math.112, 181–214 (1964)

    Google Scholar 

  8. Hayman, W. K.: Einige Verallgemeinerungen des Iversenschen Satzes auf subharmonische Funktionen, J. ber. Deutschen Math. Vereinig.71, 115–122 (1969)

    Google Scholar 

  9. Hayman, W. K.: monograph to appear

  10. Hornblower, R.: Subharmonic analogues of MacLane's classes, Ann. Polon. Math.26, 135–146 (1972)

    Google Scholar 

  11. Hornblower, R., Thomas, E. S., Jr.: The access theorem for subharmonic functions, Trans. Amer. Math. Soc.172, 287–297 (1972)

    Google Scholar 

  12. Iversen, F.: Recherches sur les Fonctions Inverses des Fonctions Méromorphes. Thèse, Helsingfors 1914

  13. v. Kerékjártó, B.: Vorlesungen über Topologie I. Grundlehren Band VIII, Berlin: Springer 1923

    Google Scholar 

  14. MacLane, G. R.: Asymptotic values of holomorphic functions, Rice Univ. Studies49, no. 1 (1963)

  15. Nguyen-Xuan-Loc, Watanabe, T.: Characterization of fine domains for a certain class of Markov processes, Z. Wahrscheinlichkeitstheorie u. verw. Geb.21, 167–178 (1972)

    Google Scholar 

  16. Piranian, G.: An entire function of restricted growth, Comm. Math. Helv.33, 322–324 (1959)

    Google Scholar 

  17. Talpur, M.N.M.: On the sets where a subharmonic function is large. London University 1967

  18. Deny, J.: Un théoréme sur les ensembles effilés, Ann. Univ. Grenoble23, 139–142 (1948)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fuglede, B. Asymptotic paths for subharmonic functions. Math. Ann. 213, 261–274 (1975). https://doi.org/10.1007/BF01350875

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01350875

Keywords

Navigation