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L p inequalities for functionals of Brownian motion

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Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1247))

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References

  1. M.T. Barlow. Inequalities for upcrossings of semimartingales via Skorokhod embedding. Z. Wahrscheinlichkeitstheorie 64 (1983) 457–473.

    Article  MathSciNet  MATH  Google Scholar 

  2. M.T. Barlow. A maximal inequality for upcrossings of a continuous martingale. Z. Wahrscheinlichkeitstheorie 67 (1984) 169–173.

    Article  MathSciNet  MATH  Google Scholar 

  3. M.T. Barlow and M. Yor. (Semi-) Martingale inequalities and local times. Z. Wahrscheinlichkeitstheorie 55 (1981) 237–281.

    Article  MathSciNet  MATH  Google Scholar 

  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.

    Article  MathSciNet  MATH  Google Scholar 

  5. D.L. Burkholder. Distribution function inequalities for martingales. Ann. Probability 1 (1973) 19–42.

    Article  MathSciNet  MATH  Google Scholar 

  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.

    Article  MathSciNet  MATH  Google Scholar 

  7. E. Perkins. A global intrinsic characterization of Brownian local times. Ann. Probability 9 (1981) 800–817.

    Article  MathSciNet  MATH  Google Scholar 

  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. 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 

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Jacques Azéma Marc Yor Paul André Meyer

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© 1987 Springer-Verlag

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Bass, R. (1987). L p inequalities for functionals of Brownian motion. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXI. Lecture Notes in Mathematics, vol 1247. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077635

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  • DOI: https://doi.org/10.1007/BFb0077635

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17768-5

  • Online ISBN: 978-3-540-47814-0

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