Skip to main content

Existence de resolvantes associees a un noyau verifiant le principe de domination

  • Conference paper
  • First Online:
Séminaire de Théorie du Potentiel Paris, No. 6

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 906))

  • 446 Accesses

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

Access this chapter

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.

Bibliographie

  1. C. Berg and J. Laub: The resolvent for a convolution kernel satisfying the domination principle, Kobenhavns Universitet, reprint series no 41 (1971).

    Google Scholar 

  2. I. Higuchi: On the transitive domination principle for continuous function-kernels, Nagoya Math. J. 57(1975),27–35.

    Article  MathSciNet  MATH  Google Scholar 

  3. I. Higuchi: Régularité et propriété de convergence dominée des potentiels d’un noyau-fonction non-symétrique, (dans ce volume du Séminaire de Théorie du Potentiel, Paris).

    Google Scholar 

  4. F. Hirsch: Conditions nécessaires et suffisantes d’existence de résolvantes, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 29 (1974), 73–85.

    Article  MATH  Google Scholar 

  5. F. Hirsch: Principe complet du maximum et principe complet du maximum relatif, dans Potential Théory, Copenhague (1979), Lecture Notes, Springer.

    Google Scholar 

  6. G.A. Hunt: Markoff processes and potentials, Illinois J. Math., t. 1 (1957), 44–93 et 316–369, t.2 (1958), 151–215.

    MathSciNet  MATH  Google Scholar 

  7. M. Itô: Une caractérisation du principe de domination pour les noyaux de convolution, Japan J. Math., 1, no1(1975), 5–35.

    MathSciNet  MATH  Google Scholar 

  8. M. Kishi: Maximum principles in the potential theory. Nagoya Math. J. 23 (1963), 165–187.

    Article  MathSciNet  MATH  Google Scholar 

  9. R. Kondō: On potential kernels satisfying the complete maximum principle, Proc. Japan Acad., 44 (1968).

    Google Scholar 

  10. G. Lion: Familles d’opérateurs et frontière en théorie du potentiel, Ann. Inst. Fourier, Grenoble, 16,2 (1966), 389–453.

    Article  MathSciNet  MATH  Google Scholar 

  11. P.A. Meyer: Probabilités et potentiel, Paris, Hermann, 1966.

    MATH  Google Scholar 

  12. P.A. Meyer: Caractérisation des noyaux potentiels des semigroupes discrets, Ann. Inst. Fourier, 16, 2 (1966), 225–240.

    Article  MathSciNet  MATH  Google Scholar 

  13. J.C. Taylor: On the existence of sub-markovian resolvents, Inventiones math., 17 (1972), 85–93.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Francis Hirsch Gabriel Mokobodzki

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Higuchi, I. (1982). Existence de resolvantes associees a un noyau verifiant le principe de domination. In: Hirsch, F., Mokobodzki, G. (eds) Séminaire de Théorie du Potentiel Paris, No. 6. Lecture Notes in Mathematics, vol 906. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093268

Download citation

  • DOI: https://doi.org/10.1007/BFb0093268

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11185-6

  • Online ISBN: 978-3-540-38971-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics