On subsets of L p and p -stable processes

M. Talagrand

Annales de l'I.H.P. Probabilités et statistiques (1989)

  • Volume: 25, Issue: 2, page 153-166
  • ISSN: 0246-0203

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Talagrand, M.. "On subsets of $L^p$ and $p$-stable processes." Annales de l'I.H.P. Probabilités et statistiques 25.2 (1989): 153-166. <http://eudml.org/doc/77344>.

@article{Talagrand1989,
author = {Talagrand, M.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {p-stable process; isometric embedding; existence of a majorizing measure; Haar measure},
language = {eng},
number = {2},
pages = {153-166},
publisher = {Gauthier-Villars},
title = {On subsets of $L^p$ and $p$-stable processes},
url = {http://eudml.org/doc/77344},
volume = {25},
year = {1989},
}

TY - JOUR
AU - Talagrand, M.
TI - On subsets of $L^p$ and $p$-stable processes
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1989
PB - Gauthier-Villars
VL - 25
IS - 2
SP - 153
EP - 166
LA - eng
KW - p-stable process; isometric embedding; existence of a majorizing measure; Haar measure
UR - http://eudml.org/doc/77344
ER -

References

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  1. [1] N.T. Anderson, E. Giné and J. Zinn, The Central Limit Theorem under Local Conditions: the Case of Infinitively Divisible Limits without Gaussian Component. 
  2. [2] A. Araujo and E. Giné, The Central Limit Theorem for Real and Banach Valued Random Variables, Wiley, New York, 1980. Zbl0457.60001MR576407
  3. [3] J. Bretagnolle, D. Dacuna Castelle and J.L. Krivine, Lois stables et espaces Lp, Ann. Inst. Henri Poincarré, Vol. 2, 1966, pp. 231-259. Zbl0139.33501
  4. [4] M. Ledoux and M. Talagrand, Comparison Theorems, Random Geometry and Limit Theorems for Empirical Processes, Ann. Prolab. (to appear). Zbl0679.60048
  5. [5] R. Le Page, M. Woodroofe and J. Zinn, Convergence to a Stable Distribution via Order Statistics, Ann. Probab., Vol. 9, 1981, pp. 624-632. Zbl0465.60031MR624688
  6. [6] M. Marcus and G. Pisier, Characterizations of almost Surely Continuous p-stable Random Fourier Series and Strongly Stationary Processes, Acta. Math., Vol. 152, 1984, pp. 245-301. Zbl0547.60047MR741056
  7. [7] G. Pisier, Some Applications of the Metric Entropy Condition to Harmonic Analysis in Banach Spaces, Harmonic Analysis and Probability, Proceedings80-81; Lecture Notes in Math., No. 976, 1983, pp. 123-154, Springer Verlag. Zbl0517.60043MR717231
  8. [8] G. Pisier, Probabilistic Methods in the Geometry of Banach Space. Zbl0606.60008
  9. [9] M. Talagrand, Characterization of Almost Surely Continuous 1-Stable Random Fourier Series and Strongly Stationary Processes, Ann. Probab. (to appear). Zbl0707.60034MR1043938
  10. [10] M. Talagrand, Donsker Classes and Random Geometry, Ann. Probab., Vol. 15, 1987, pp. 1327-1338. Zbl0637.60040MR905334
  11. [11] M. Talagrand, Sample Boundedness of Stochastic Processes under Increment Conditions, Ann. Probab. (to appear). Zbl0703.60033MR1043935
  12. [12] M. Talagrand, The Structure of Sign Invariant GB-Sets and of Certain Gaussian Measures, Ann. Probab., 16, 1988, pp. 172-179. Zbl0637.60051MR920262
  13. [13] M. Talagrand, Donsker Classes of Sets, Probab. Th. Related Fields, 78, 1988, pp. 169- 191. Zbl0628.60027MR945108
  14. [14] M. Talagrand, Regularity of Gaussian Processes, Acta Math., Vol. 159, 1987, pp. 99- 149. Zbl0712.60044MR906527
  15. [15] M. Talagrand, Necessary Conditions for Sample Boundedness of p-Stable Processes, Ann. Probab., 16, 1988, pp. 1584-1595. Zbl0712.60045MR958204

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