Skip to main content
SpringerLink
Log in
Book cover

Théorie du Potentiel pp 290–300Cite as

A dirichlet form on the wiener space and properties on Brownian motion

  • Deuxieme Partie
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1096))

This is a preview of subscription content, 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D.R. ADAMS.-Maximal operators and capacity. Proc. Amer. Math. Soc., 34 (1972), 152–156.

    Article  MathSciNet  MATH  Google Scholar 

  2. A. BEURLING AND J. DENY.-Dirichlet spaces. Proc. Nat. Acad. Sci. U.S.A., 45 (1959), 208–215.

    Article  MathSciNet  MATH  Google Scholar 

  3. L. CARLESON.-Selected problems on exceptional sets. Van Nostrand, Princeton, 1967.

    MATH  Google Scholar 

  4. J. DENY.-Théorie de la capacité dans les espaces fonctionnels. Séminaire Brelot-Choquet-Deny, Paris, 1964–65.

    MATH  Google Scholar 

  5. M. FUKUSHIMA.-Dirichlet forms and Markov processes. North Holland and Kodansha, 1980.

    Google Scholar 

  6. M. FUKUSHIMA.-Capacitary maximal inequalities and an ergodic theorem. Proceedings of the 4-th Japan-USSR Symp. on Probability Theory, Lecture Notes in Math., 1021, Springer, 1983.

    Google Scholar 

  7. M. FUKUSHIMA.-Basic properties of Brownian motion and a capacity on the Wiener space, J. Math. Soc. Japan 36 (1984), to appear.

    Google Scholar 

  8. M. FUKUSHIMA AND H. KANEKO.-On (r,p)-capacities for general Markovian semigroups, in "Stochastic processes and infinite dimensional analysis". Ed. S. Albeverio, Pitman, 1984.

    Google Scholar 

  9. S. KAKUTANI.-On Brownian motion in n-space. Proc. Acad. Japan 20 (1944), 648–652.

    Article  MathSciNet  MATH  Google Scholar 

  10. T. KOMATSU AND K. TAKASHIMA.-Haussdorff dimension of quasi-all Brownian paths, to appear.

    Google Scholar 

  11. N. KONO.-Propriétés quasi-partout de fonctions aléatoires Gaussiennes. Séminaire d'Analyse des Fonctions Aléatoires. Université Strasbourg, 1983.

    Google Scholar 

  12. N. KONO.-4-dimensional Brownian motion is recurrent with positive capacity. Proc. Japan Acad., to appear.

    Google Scholar 

  13. P. MALLIAVIN.-Implicit functions in finite corank on the Wiener space. Proc. Taniguchi Intern. Symp. on Stochastic Analysis, Katata and Kyoto, Ed. K. Ito, Kinokuniya, 1983.

    Google Scholar 

  14. H.P. McKEAN.-Stochastic integrals. Academic Press, 1969.

    Google Scholar 

  15. P.A. MEYER.-Note sur les processus d'Ornstein-Uhlenbeck. Séminaire de Probabilités XVI 1980/81, Lecture Notes in Math., 920, Springer, 1982.

    Google Scholar 

  16. S. OREY AND W. PRUITT.-Sample functions of the N-parameter Wiener process. Ann. Prob. 1 (1973), 138–163.

    Article  MathSciNet  MATH  Google Scholar 

  17. I. SHIGEKAWA.-On the existence of the local time of the 1-dimensional Brownian motion in quasi-everywhere, to appear.

    Google Scholar 

  18. M. TAKEDA.-(r,p)-capacity on the Wiener space and properties of Brownian motion, to appear.

    Google Scholar 

  19. A. ZYGMUND.-Trigonometric series. Cambridge, 1959.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics College of General Education, Osaka University, Toyonaka, Osaka, Japan

    Masatoshi Fukushima

Authors
  1. Masatoshi Fukushima
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Gabriel Mokobodzki Didier Pinchon

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Fukushima, M. (1984). A dirichlet form on the wiener space and properties on Brownian motion. In: Mokobodzki, G., Pinchon, D. (eds) Théorie du Potentiel. Lecture Notes in Mathematics, vol 1096. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100116

Download citation

  • DOI: https://doi.org/10.1007/BFb0100116

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13894-5

  • Online ISBN: 978-3-540-39106-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation