Skip to main content
SpringerLink
Log in

The generalized Ahlfors-Heins theorem in R3

  • Conference paper
  • First Online:
Topics in Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 419))

  • 368 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Doob, J. L.: A non-probabilistic proof of the relative Fatou theorem.-Ann. Inst. Fourier (Grenoble) 9, 1959, pp.293–300.

    Article  MathSciNet  MATH  Google Scholar 

  2. Essén, M.: A generalization of the Ahlfors-Heins theorem.-Bull. Amer. Math. Soc. 75, 1969, pp.127–131.

    Article  MathSciNet  MATH  Google Scholar 

  3. -"-: A generalization of the Ahlfors-Heins theorem.-Trans. Amer. Math. Soc. 142, 1969, pp.331–344.

    Article  MathSciNet  MATH  Google Scholar 

  4. Helms, L. L.: Introduction to potential theory.-Pure and applied mathematics 22. Wiley-Interscience, a Division of John Wiley & Sons, New York / London / Sydney / Toronto, 1969.

    Google Scholar 

  5. Keller, H.: Über das Anwachsen von Potentialfunktionen im dreidimensionalen Raum.-Ann. Acad. Sci. Fenn. A.I.83, 1950.

    Google Scholar 

  6. Lelong, Jacqueline: Propriétés des fonctions surharmoniques positives dans un demi-espace.-C. R. Acad. Sci. Paris 226, 1948, pp.1161–1163.

    MathSciNet  MATH  Google Scholar 

  7. Lelong-Ferrand, Jacqueline: Étude des fonctions surharmoniques positives dans un cylindre ou dans un cône.-C. R. Acad. Sci. Paris 229, 1949, pp.340–341.

    MathSciNet  MATH  Google Scholar 

  8. Lelong-Ferrand, Jacqueline: Extension du théorème de Phràgmén-Lindelöf-Heins aux fonctions sous-harmoniques dans un cône ou dans un cylindre.-C. R. Acad. Sci. Paris 229, 1949, pp.411–413.

    MathSciNet  MATH  Google Scholar 

  9. Lewis, J. L.: Subharmonic functions in certain regions.-Trans. Amer. Math. Soc. 167, 1972, pp.191–201.

    Article  MathSciNet  MATH  Google Scholar 

  10. -"-A note on Essén's generalization of the Ahlfors-Heins theorem.-Trans. Amer. Math. Soc. (to appear).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Royal Institute of Technology, S-10044, Stockholm 70, Sweden

    Matts Essén

Authors
  1. Matts Essén
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Olli Lehto Ilppo Simo Louhivaara Rolf Nevanlinna

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag

About this paper

Cite this paper

Essén, M. (1974). The generalized Ahlfors-Heins theorem in R3 . In: Lehto, O., Louhivaara, I.S., Nevanlinna, R. (eds) Topics in Analysis. Lecture Notes in Mathematics, vol 419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064715

Download citation

  • DOI: https://doi.org/10.1007/BFb0064715

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06965-2

  • Online ISBN: 978-3-540-37907-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation