Skip to main content
SpringerLink
Log in

Martin boundary and ℋp-theory of harmonic spaces

  • Conference paper
  • First Online:
Seminar on Potential Theory, II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 226))

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 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
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.

Bibliography

  1. H. BAUER: Harmonische Räume und ihre Potentialtheorie. Lecture Notes in Mathematics 22. Springer-Verlag Berlin-Heidelberg-New York (1966).

    MATH  Google Scholar 

  2. : Konexität in topologischen Vektorräumen. Lecture notes. Hamburg (1964).

    Google Scholar 

  3. N. BOURBAKI: Topologie générale I,II, 4e édition.

    Google Scholar 

  4. : Topologie générale IX, 2e édition.

    Google Scholar 

  5. : Intégration I–IV, 2e édition.

    Google Scholar 

  6. : Espaces vectoriels topologiques I,II, 2e édition. Hermann, Paris

    Google Scholar 

  7. M. BRELOT: Intégrabilité uniforme. Séminaire Théorie du potentiel, Paris (1961/62).

    MATH  Google Scholar 

  8. G.CHOQUET: Axiomatique des mesures maximales. C.R.Acad.Sc. de Paris (1962) p.37–39.

    Google Scholar 

  9. J.L. DOOB: Probability methods applied to the first boundary value problem. Third Berkeley Symp. on Math.Statistics and Prob. 2 (1954/55) p.49–80.

    MathSciNet  Google Scholar 

  10. L. GÅRDING, L. HÖRMANDER: Strongly subharmonic functions. Math.Scand. 15 (1964) p.93–96.

    MathSciNet  Google Scholar 

  11. K. GOWRISANKARAN: Extreme harmonic functions and boundary value problems. Ann.Inst.Fourier 13/2 (1963) p.307–356.

    Article  MathSciNet  MATH  Google Scholar 

  12. : Fatou-Naim-Doob limit theorems in the axiomatic system of Brelot. Ann.Inst.Fourier 16/2 (1966) p.455–467.

    Article  MathSciNet  MATH  Google Scholar 

  13. K.HOFMANN: Banach spaces of analytic functions. Prentice Hall (1962).

    Google Scholar 

  14. J.LEMBCKE: Konservative Abbildungen und Fortsetzung regulärer Maße. Thesis, University of Erlangen-Nürnberg (1969).

    Google Scholar 

  15. L. LUMER-NAIM: Fonctions sous-analytique, classes Hφ, principe de Phragmen-Lindelöf. C.R.Acad.Sc. de Paris 262 (1962) p.1167.

    MathSciNet  MATH  Google Scholar 

  16. : Hp spaces of harmonic functions. Ann.Inst.Fourier 17/2 (1967) p.425–469.

    Article  MathSciNet  MATH  Google Scholar 

  17. P.A. MEYER: Probabilités et potentiel. Hermann, Paris (1966).

    MATH  Google Scholar 

  18. M.H.PROTTER, H.F.WEINBERGER: Maximum principles in differential equations. Prentice Hall (1967).

    Google Scholar 

  19. R.R.PHELPS: Lectures on Choquet's theorem. Van Nostrand (1966).

    Google Scholar 

  20. W.RUDIN: Real and complex analysis. Mc Graw Hill (1966).

    Google Scholar 

  21. M. SIEVEKING: Integraldarstellung superharmonischer Funktionen mit Anwendung auf parabolische Differentialgleichungen. Lecture Notes in Mathematics 69 (1968). Springer-Verlag Berlin-Heidelberg-New York.

    Google Scholar 

Download references

Authors
  1. Klaus Janßen
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Heinz Bauer

Rights and permissions

Reprints and permissions

Copyright information

© 1971 Springer-Verlag

About this paper

Cite this paper

Janßen, K. (1971). Martin boundary and ℋp-theory of harmonic spaces. In: Bauer, H. (eds) Seminar on Potential Theory, II. Lecture Notes in Mathematics, vol 226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060482

Download citation

  • DOI: https://doi.org/10.1007/BFb0060482

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05638-6

  • Online ISBN: 978-3-540-36912-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation