Lp inequalities for functionals of Brownian motion

  • Richard Bass
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1247)

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References

  1. 1.
    M.T. Barlow. Inequalities for upcrossings of semimartingales via Skorokhod embedding. Z. Wahrscheinlichkeitstheorie 64 (1983) 457–473.MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    M.T. Barlow. A maximal inequality for upcrossings of a continuous martingale. Z. Wahrscheinlichkeitstheorie 67 (1984) 169–173.MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    M.T. Barlow and M. Yor. (Semi-) Martingale inequalities and local times. Z. Wahrscheinlichkeitstheorie 55 (1981) 237–281.MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    M.T. Barlow and M. Yor. (Semi-) Martingale inequalities via the Garsia-Rodemich-Rumsey lemma and applications to local times. J. Funct. Anal. 49 (1982) 198–229.MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    D.L. Burkholder. Distribution function inequalities for martingales. Ann. Probability 1 (1973) 19–42.MathSciNetCrossRefMATHGoogle Scholar
  6. 6.
    R. Fefferman, R.F. Gundy, M. Silverstein, E. Stein. Inequalities for ratios of functionals of harmonic functions. Proc. Nat. Acad. Sci. USA 79 (1982) 7958–7960.MathSciNetCrossRefMATHGoogle Scholar
  7. 7.
    E. Perkins. A global intrinsic characterization of Brownian local times. Ann. Probability 9 (1981) 800–817.MathSciNetCrossRefMATHGoogle Scholar
  8. 8.
    L.C.G. Rogers. Williams' characterisation of the Brownian excursion law: proof and applications. Séminaire de Probabilités XV, LNM 850, Springer, Berlin, 1981.Google Scholar
  9. 9.
    M. Yor. Application de la rélation de domination à certains renforcements des inégalités de martingales. Séminaire de Probabilités XVI, LNM 920, Springer, Berlin, 1982.Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Richard Bass
    • 1
  1. 1.Department of MathematicsUniversity of WashingtonSeattle

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