Inégalités relatives aux processus d’Ornstein-Uhlenbeck à n paramètres et capacité gaussienne c n , 2

Shiqi Song

Séminaire de probabilités de Strasbourg (1993)

  • Volume: 27, page 276-301

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Song, Shiqi. "Inégalités relatives aux processus d’Ornstein-Uhlenbeck à $n$ paramètres et capacité gaussienne $c_{n,2}$." Séminaire de probabilités de Strasbourg 27 (1993): 276-301. <http://eudml.org/doc/113852>.

@article{Song1993,
author = {Song, Shiqi},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {-parameters Ornstein-Uhlenbeck process; Sobolev space; inequalities},
language = {fre},
pages = {276-301},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Inégalités relatives aux processus d’Ornstein-Uhlenbeck à $n$ paramètres et capacité gaussienne $c_\{n,2\}$},
url = {http://eudml.org/doc/113852},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Song, Shiqi
TI - Inégalités relatives aux processus d’Ornstein-Uhlenbeck à $n$ paramètres et capacité gaussienne $c_{n,2}$
JO - Séminaire de probabilités de Strasbourg
PY - 1993
PB - Springer - Lecture Notes in Mathematics
VL - 27
SP - 276
EP - 301
LA - fre
KW - -parameters Ornstein-Uhlenbeck process; Sobolev space; inequalities
UR - http://eudml.org/doc/113852
ER -

References

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  2. [2] De La Pradelle, A., Feyel, D. : Capacités Gaussiennes. Ann. Inst. Fourier, Grenoble, 41, 1 (1991), 49-76 Zbl0735.46018MR1112191
  3. [3] Denis, L. : Comportement des martingales positives sur l'espace de Wiener vis-à-vis de la capacité. C. R. Acad. Sci.Paris, t. 314, Série I pp. 771-773, 1992. Zbl0757.60040MR1163875
  4. [4] Dynkin, E.B.Additive functionals of several time-reversible Markov processes. J.Funct. Anal., 42 (1981), 64-101. Zbl0467.60069MR620580
  5. [5] Evans, S.N. : Multiple points in the sample paths of a Lévy process. Probab. Th. Rel. Fields, 76 (1987), 359-367. MR912660
  6. [6] Fitzsimmons, P.J., Salisbury, T.S. : Capacity and energy for multiparameter Markov processes. Ann. Inst. Henri Poincaré, Vol.25, n°3, p.325-350, 1989. Zbl0689.60071MR1023955
  7. [7] Fukushima, M. : Dirichlet forms and Markov processes. North-Holland-Kodansha. 1980. Zbl0422.31007MR569058
  8. [8] Kazumi, T., Shigekawa, I.: Measures of finite (r,p)-energy and potentials on a separable metric space. Séminaire de Probabilités XXVI, Lecture Notes in Mathematics, 1526, Springer-Verlag, Berlin-Heidelberg-New York, 1992. Zbl0769.60069MR1232008
  9. [9] Meyer, P.A. : Note sur le processus d'Ornstein-Uhlenbeck. Séminaire de Probabilités XVI, p.95-133, Lecture Notes in Mathematics, n°920, Springer-Verlag, Berlin-Heidelberg-New York, 1982. Zbl0481.60041MR658673
  10. [10] Proceedings, Paris1980 : Processus aléatoires à deux indices. Lecture Notes in Mathematics. 863. Springer-VerlagBerlin-Heidelberg-New York. Zbl0447.00024MR630302
  11. [11] Ren, J. : Topologie p-fine sur l'espace de Wiener et théorème des fonctions implicites. Bull.Sc.Math.,2e série ,114 (1990),99-114. Zbl0707.60055MR1056156
  12. [12] Song, S. : Processus d'Ornstein-Uhlenbeck et ensembles W2,2-polaires. Preprint, 1992. MR1246749
  13. [13] Sugita, H. : Positive generalized Wiener functions and potential theory over abstract Wiener spaces. Osaka J. Math.25 (1988), 665-696. Zbl0737.46038MR969026

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