Skip to main content
SpringerLink
Log in

Construction of markov process with markov resolvent onL P (E, m)

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

LetE be a Hausdorff topological space and let β(E) be its Borel σ-field. Letm be a σ-finite measure on (E, β(E)). A necessary and sufficient condition for a Markov resolvent onL P(E,m) to be associated with anm-tightm-special standard process (with state spaceE) is given. Furthermore some new examples which do not belong to the framework of Dirichlet space are also given.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Ma. Z. M., Rockner. M.,Introduction to the Theory of (Non-symmetric) Dirichlet Forms, Berlin: Springer-Verlag, 1992.

    Google Scholar 

  2. Dong. Z., A representation of capacity by the first-touching time ofm -tight process on general topological state space and its application,Acta Mathemutica Scientia, 1997, 17(2).

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Mathematics, Chinese Academy of Sciences, 100080, Beijing, China

    Zhao Dong

Authors
  1. Zhao Dong
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Project supported by the Youth Foundation of Chinese Academy of Sciences.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dong, Z. Construction of markov process with markov resolvent onL P (E, m). Sci. China Ser. A-Math. 40, 897–908 (1997). https://doi.org/10.1007/BF02878669

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02878669

Keywords

Search

Navigation