Capacitary maximal inequalities and an ergodic theorem

  • Masatoshi Fukushima
Conference paper
First Online:
Part of the Lecture Notes in Mathematics book series (LNM, volume 1021)

Keywords

Ergodic Theorem Borel Function Dirichlet Space Maximal Inequality Markovian Operator 
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References

  1. [1]
    D.R. Adams: Maximal operators and capacity, Proc. Amer. Math. Soc. 34(1972), 152–156.MATHCrossRefMathSciNetGoogle Scholar
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    C. Dellacherie and P.A. Meyer: Probabilités et potentiel, Théorie des martingales, Hermann, 1980.Google Scholar
  3. [3]
    J. Deny: Théorie de la capacité dans les espaces fonctionnels, Séminaire Brelot-Choquet-Deny, 9e année, Paris, 1964–65.Google Scholar
  4. [4]
    M. Fukushima: Almost polar sets and an ergodic theorem, J. Math. Soc. Japan, 26(1974), 17–32.MATHCrossRefMathSciNetGoogle Scholar
  5. [5]
    M. Fukushima: Dirichlet forms and Markov processes, Kodansha and North Holland, 1980.Google Scholar
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    O.G. Jørsboe and L. Mejlbro: The Carleson-Hunt theorem on Fourier series, Lecture Notes in Math., 911, Springer, 1982.Google Scholar
  7. [7]
    M. Sur: An ergodic theorem for Markov processes I, II, Theory Prob.Applications, 21(1976), 400–406; 22(1977), 692–707.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • Masatoshi Fukushima
    • 1
  1. 1.College of General EducationOsaka UniversityOsakaJapan

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