Skip to main content
Log in

A co-fine domination principle for harmonic spaces

  • Published:
Mathematische Zeitschrift 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. Bauer, H.: Harmonische Räume und ihre Potentialtheorie. Lecture Notes in Mathematics No. 22. Berlin-Heidelberg-New York: Springer 1966

    Google Scholar 

  2. Constantinescu, C., Cornea, A.: Potential Theory on Harmonic spaces. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  3. Forst, G.: Symmetric Harmonic Groups and Translation Invariant Dirichlet Spaces. Inventiones math.18, 143–182 (1972)

    Google Scholar 

  4. Hervé, R.M.: Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel. Ann. Inst. Fourier12, 415–571 (1962)

    Google Scholar 

  5. Janssen, K.: On the existence of a Green function for harmonic spaces. Math. Ann.208, 295–303 (1974)

    Google Scholar 

  6. Maeda, F.-Y.: Energy of Functions on a Self-adjoint harmonic space I, II. Hiroshima math. J.2, 313–337 and3, 37–60 (1973)

    Google Scholar 

  7. Nguyen-Xuan-Loc: Sur les potentiels semi-bornés.C.R. Acad. Sci., Paris274, 767–770 (1972)

    Google Scholar 

  8. Nguyen-Xuan-Loc: Sur le principe du minimum fin. Nagoya Math. J.54, 135–148 (1974)

    Google Scholar 

  9. Sieveking, M.: Integraldarstellung superharmonischer Funktionen mit Anwendung auf parabolische Differentialgleichungen. In: Seminar über Potentialtheorie (Erlangen-Nünberg 1967–1968) pp. 13–68. Lecture Notes in Mathematics No. 69. Berlin-Heidelberg-New York: Springer 1968

    Google Scholar 

  10. Taylor, J.C.: Duality and the Martin compactification. Ann. Inst. Fourier22, 94–130 (1972)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Janssen, K. A co-fine domination principle for harmonic spaces. Math Z 141, 185–191 (1975). https://doi.org/10.1007/BF01218827

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01218827

Keywords

Navigation