Skip to main content
SpringerLink
Log in

Some exceptional sets in potential theory

  • Conference paper
  • First Online:
Complex Analysis Joensuu 1978

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 747))

  • 335 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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
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. Ahlfors, L. V., Heins, M.: Questions of regularity connected with the Phragmén-Lindelöf principle. Ann. of math., II. Ser. 50 (1949), 341–346.

    Article  MathSciNet  MATH  Google Scholar 

  2. Azarin, V.: Generalization of a theorem of Hayman on subharmonic functions in an m-dimensional cone. Amer. math. Soc., Translat., II. Ser. 80 (1969), 119–138.

    Article  MATH  Google Scholar 

  3. Brelot, M.: Sur les ensembles effilés. Bull. Sci. math., II. Sér. 68 (1944), 12–36.

    MathSciNet  MATH  Google Scholar 

  4. Brelot, M.: Sur le rôle du point à l'infini dans la theórie des fonctions harmoniques. Ann. sci. École norm. sup., III. Sér. (1944), 301–332.

    MathSciNet  MATH  Google Scholar 

  5. Brelot, M.: On topologies and boundaries in potential theory. Lecture Notes in Mathematics 175, Springer-Verlag, Berlin-Heidelberg-New York (1971).

    MATH  Google Scholar 

  6. Constantinescu, C., Cornea, A.: Ideale Ränder Riemannscher Flächen. Springer-Verlag, Berlin-Göttingen-Heidelberg (1963).

    Book  MATH  Google Scholar 

  7. Essén, M., Jackson, H. L.: On the covering properties of certain exceptional sets in a half space. Royal Institute of Technology, Stockholm, Sweden. Preprint.

    Google Scholar 

  8. Hwang, J. S., Jackson, H. L.: Some results on Kuramochi thin sets. An. Acad. Bras. Ciênc. 50, 4 (1978).

    Google Scholar 

  9. Hwang, J. S., Jackson, H. L.: On the relationship between ordinary thin sets and full-thin sets. Centre de recherches mathématiques, Université de Montréal, report 845. Preprint.

    Google Scholar 

  10. Jackson, H. L.: Some results on thin sets in a half plane. Ann. Inst. Fourier 20, 2 (1970), 201–218.

    Article  MathSciNet  MATH  Google Scholar 

  11. Jackson, H. L.: Sur la comparaison entre deux types d'effilement. Sémin. Théorie Potent., 15e année 1972, Exposé 23 (1973).

    Google Scholar 

  12. Jackson, H. L.: On the mapping properties of certain exceptional sets in ℝ2. Canadian J. Math. 27 (1975), 44–49.

    Article  MathSciNet  MATH  Google Scholar 

  13. Lelong-Ferrand, J.: Etude au voisinage de la frontiére des fonctions surharmoniques positives dans un demi-espace. Ann. sci. École norm. sup., III. Sér. 66 (1949), 125–159.

    MathSciNet  MATH  Google Scholar 

  14. Maeda, F. Y., Ohtsuka, M.: Kuramochi boundaries of Riemann surfaces. Lecture Notes in Mathematics 58, Springer-Verlag, Berlin-Heidelberg-New York (1968).

    Google Scholar 

  15. Naïm, L.: Sur le rôle de la frontiére de R. S. Martin dans la théorie du potentiel. Ann. Inst. Fourier 7 (1957), 183–281.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, McMaster University, L8S 4K1, Hamilton, Ontario, Canada

    Howard L. Jackson

Authors
  1. Howard L. Jackson
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Ilpo Laine Olli Lehto Tuomas Sorvali

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Jackson, H.L. (1979). Some exceptional sets in potential theory. In: Laine, I., Lehto, O., Sorvali, T. (eds) Complex Analysis Joensuu 1978. Lecture Notes in Mathematics, vol 747. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063973

Download citation

  • DOI: https://doi.org/10.1007/BFb0063973

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09553-8

  • Online ISBN: 978-3-540-34859-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation