Une remarque sur un théorème de Bourgain

Dominique Schneider; Michel Weber

Séminaire de probabilités de Strasbourg (1993)

  • Volume: 27, page 202-206

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Schneider, Dominique, and Weber, Michel. "Une remarque sur un théorème de Bourgain." Séminaire de probabilités de Strasbourg 27 (1993): 202-206. <http://eudml.org/doc/113846>.

@article{Schneider1993,
author = {Schneider, Dominique, Weber, Michel},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {almost sure convergence; mean ergodic theorem; Gaussian process},
language = {fre},
pages = {202-206},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Une remarque sur un théorème de Bourgain},
url = {http://eudml.org/doc/113846},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Schneider, Dominique
AU - Weber, Michel
TI - Une remarque sur un théorème de Bourgain
JO - Séminaire de probabilités de Strasbourg
PY - 1993
PB - Springer - Lecture Notes in Mathematics
VL - 27
SP - 202
EP - 206
LA - fre
KW - almost sure convergence; mean ergodic theorem; Gaussian process
UR - http://eudml.org/doc/113846
ER -

References

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  1. [B] Bourgain, J.Almost sure convergence and bounded entropy. Israël J. of Math., V. 63, p. 79-87, (1988). Zbl0677.60042MR959049
  2. [Du] Dudley, R.M.The size of compact subsets in Hilbert spaces and continuity of Gaussian processes. J. Functional analysis, V1, p. 290-330 (1967). Zbl0188.20502MR220340
  3. [F] Fernique, X.Gaussian Random Vectors and their reproducing Kernel Hilbert spaces. Tech. rep. n° 34, Univ. of Ottawa, (1985). 
  4. [H] Halàsz, K.Remarks on the remainder in Birkhoff's ergodic theorem. Acta Math. Acad. Sci Hungar.28, p. 389-395, (1978). Zbl0336.28005MR425076
  5. [K] Krengel, U.Ergodic theorems. W. de Gruyter, studies in Mathematics6, (1985). Zbl0575.28009MR797411
  6. [LW] Ladouceur, S., Weber, M.Speed of convergence of the mean average operator for quasi-compact operators, preprint, (1991). 
  7. [Sa] Sawyer, S.Maximal inequalities of weak type. Ann. Math., V. 84, p. 157-174, (1966). Zbl0186.20503MR209867
  8. [St] Stein, E.M.On limits of sequences of operators. Ann. Math. V. 74, p. 140-170, (1961). Zbl0103.08903MR125392
  9. [Su] Sudakov, V.N.Gaussian random processes and measures of solid angles in Hilbert spaces. Dokl. Akad. Nauk. S.S.S.R. V. 197, p. 43-45, (1971). Zbl0231.60025MR288832

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